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NCERT Solutions for Class 7 Maths Chapter 11

Exercise 11.2

16 Qs

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Find the area of the following parallelogram.

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Find the area of the following parallelogram.

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Find the area of the following parallelogram.

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Find the area of the following parallelogram.

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Find the area of the parallelogram whose base and height are given as shown in the figure.

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Find the area of the following triangle.

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Find the area of the following triangle.

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Find the area of the above triangle.

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Find the area of the following triangle.

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Find the missing values:
S.No.BaseHeightArea of the parallelogram
a. cm
b.
cm
c.
cm
d. cm

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Find the missing values:
BaseHeightArea of triangle
cm______
________ mm
cm_______ .

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PQRS is a parallelogram. QM is the perpendicular height from Q to SR and QN is the perpendicular height from Q to PS. If SRcm and QMcm then find the area of the parallelogram PQRS.

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PQRS is a parallelogram. QM is the height from Q to SR and QN is the height from Q to PS. If SRcm and QMcm. Find QN, if PScm.

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DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD. If the area of the parallelogram is , ABcm and AD cm, find the length of BM and DL.

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ABC is right angled at A. AD is perpendicular to BC. If ABcm, BCcm and ACcm, find the area of ABC. Also, find the length of AD.

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ABC is isosceles with ABACcm and BCcm. The height AD from A to BC, is cm. Find the area of ABC. What will be the height from C to AB i.e., CE?

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Exercise 11.3

21 Qs

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Find the circumference of the circles with the following radius:(Take )
cm.

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Find the circumference of the circles with the following radius:(Take )
mm.

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Find the circumference of the circles with the following radius: (Take )
cm.

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Find the area of the following circle, given that: (Take )
Radius mm.

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Find the area of the following circle, given that: (Take )
Diameterm.

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Find the area of the following circle, given that: (Take )
Radius cm.

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If the circumference of a circular sheet is m, find its radius. Also find the area of the sheet.

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A gardener wants to fence a circular garden of diameter m. Find the length of the rope he needs to purchase, if he makes rounds of fence. Also, find the costs of the rope, if it cost Rs. per meter.(Take )

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From a circular sheet of radius cm, a circle of radius cm is removed. Find the area of the remaining sheet.(Take )

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Salma wants to put a lace on the edge of a circular table cover of diameter m. Find the length of the lace required and also find its cost if one meter of the lace costs Rs. . (Take )

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Find the perimeter of the adjoining figure, which is a semicircle including its diameter.

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Find the cost of polishing a circular table-top of diameter m, if the rate of polishing is Rs. . (Take )

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Shazli took a wire of length cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Take )

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From a circular card sheet of radius cm, two circles of radius cm and a rectangle of length cm and breadth cm are removed (as shown in the adjoining figure). Find the area of the remaining sheet.(Take )

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A circle of radius cm is cut out from a square piece of an aluminium sheet of side cm. What is the area of the left over aluminium sheet? (Take )

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The circumference of a circle is cm. Find the radius and the area of the circle. (Take )

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A circular flower bed is surrounded by a path m width. The diameter of the flower bed is m. What is the area of this path?(Take )

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A circular flower garden has an area of . A sprinkler at the centre of the garden can cover an area that has a radius of m. Will the sprinkler water the entire garden?(Take )

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Find the circumference of the inner and the outer circles, shown in the adjoining figure. (Take )

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How many times a wheel of radius cm must rotate to go m?(Take )

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The minute hand of a circular clock is cm long. How far does the tip of the minute hand move in hour?(Take )

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Exercise 11.4

18 Qs

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A garden is m long and m broad. A path m wide is to be built outside and around it. Find the area of the path. Also find the area of the garden in hectares.

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A m wide path runs outside and around a rectangular park of length m and breadth m. Find the area of the path.

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A picture is painted on a cardboard cm long and cm wide such that there is a margin of cm along each of its sides. Find the total area of the margin.

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A verandah of width m is constructed all along outside a room which is m long and m wide. Find the area of the verandah.

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A verandah of width m is constructed all along outside a room which is m long and m wide. Find the cost of cementing the floor of the verandah at the rate of Rs. per .

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A path m wide is built along the border and inside a square garden of side m.
Find the area of the path.

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A path m wide is built along the border and inside a square garden of side m.
Find the cost of planting grass in the remaining portion of the garden at the rate of Rs. per .

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Two cross roads, each of width m, cut at right angles through the centre of a rectangular park of length m and breadth m and parallel to its sides. Find the area of the roads. Also find the area of the park excluding cross roads. Give the answer in hectares.

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Find the area covered by the roads.

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Find the cost of constructing the roads at the rate of Rs. per .

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Pragya wrapped a cord around a circular pipe of radius cm(adjoining figure) and cut off the length required of the cost. Then she wrapped it around a square box of side cm(also shown). Did she have any cord left?(Take )

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The adjoining figure represents a rectangular lawn with a circular flower bed in the middle.
Find the area of the whole land.

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The adjoining figure represents a rectangular lawn with a circular flower bed in the middle.
Find the area of the flower bed.

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The adjoining figure represents a rectangular lawn with a circular flower bed in the middle.
Find the area of the lawn excluding the area of the flower bed.

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The adjoining figure represents a rectangular lawn with a circular flower bed in the middle.
Find the circumference of the flower bed.

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In the following figures, find the area of the shaded portion.

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In the following figure, find the area of the shaded portion.

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Find the area of the equilateral ABCD. Here, ACcm, BMcm, DNcm and BMAC, DNAC.

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