Question

The breadth of the rectangle is 15m than its length. The perimeter is 430m. Find the area of rectangle

Answer 1

hey,
here's your answer
given,
l=15+b
b=b
perimeter=430m
perimeter=2 (l+b)
430=2 (15+2b)
215=15+2b
200=2b
b=100m
l=115m
area=115×100
=11500m^2
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Answer 2

The area of rectangle is 11500 sq.m.

Step-by-step explanation:

Let the length be x

We are given that  The breadth of the rectangle is 15m than its length.

Breadth = x+15

Perimeter of rectangle = 2(l+b)=2(x+x+15)=2(2x+15)

We are given that The perimeter is 430m

So, 430 =2(2x+15)

$\frac{430}{2}=2x+15\\\frac{430}{2}-15=2x\\\frac{\frac{430}{2}-15}{2}=x\\100=x$

Length = 100 m

Breadth = 100+15 = 115 m

Area of rectangle = $Length \times Breadth = 100 \times 115 = 11500 m^2$

Hence the area of rectangle is 11500 sq.m.

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