Question

The given figure shows $4$ identical squares which lie within a big square. If the area of the big square is $784$ $c{m}^2$, find the shaded area of the given figure.

• A. $688$ $c{m}^2$
• B. $637$ $c{m}^2$
• C. $588$ $c{m}^2$
• D. $528$ $c{m}^2$

Answer 1

Answer: (C)

Side of bigger square $\to$ a

Side of smaller square $\to$ b

Here It can be seen from the figure that a $\to$ $4$b ($4$ smaller squares lie on one side of bigger square)

Area $\to$ $Side\times Side$

Area $\to$ $28\times 28$

Hence, Side $\to$ $28$

Now, $28$ $\to$ $4$ $\times$ b

b $\to$ $7$

Area of shaded region $\to$ (Area of bigger square) $-$ $4$(Area of smaller square)

Area of shaded region $\to$ ($784$) $-$ ($4\times 49$) $\to$ $588$ Sq.cm