# Q. 7.     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.

R Riya

It is given that the perimeter of a rectangle is $130\; cm$ and breadth is $30\; cm$

Now, we know that

The perimeter of the rectangle is $=2(l+b)$

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

$\Rightarrow 2l = 130- 60$

$\Rightarrow l = \frac{70}{2} = 35 \ cm$
Now,

Area of rectangle is $= length \times breath$

$\Rightarrow 35 \times 30 = 1050 \ cm^2$

Therefore, the length and area of the rectangle are 35cm and $1050 \ cm^2$ respectively

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