Question

The perimeter of a rectangle is $$130$$cm. If the breadth of the rectangle is $$30$$cm, find its length. Also, find the area of the rectangle.

Answer 1

Perimeter of rectangle$$=130$$cm

$$\Rightarrow 2($$length$$+$$breadth$$)=130$$cm

$$\Rightarrow 2($$length$$+30)=130$$

$$\Rightarrow$$ length$$+30=\dfrac{130}{2}$$

$$\Rightarrow$$ length$$+30=65$$

$$\Rightarrow$$ length$$=65-30=35$$cm

Now area of rectangle$$=$$length$$\times$$breadth$$=35\times 30=1050cm^2$$

Thus, the area of rectangle is $$1050cm^2$$.