Question

the perimeter of a rectangular field is 70 m and its length is 15 m longer than its breath. Find the area of the path. ​

Answer 1

let breath of rectangle be xm

length=15 +xm

perimeter of

rectangle=2 (lenghth + breath)

70 =2(15 +x+x)

.

..

.

x=10

breath =10m

length =25m

hope it help u

Answer 2

The area of the path is 250 sq.m.

Step-by-step explanation:

Let the breadth of rectangular field be x

We are given that its length is 15 m longer than its breath

Length of rectangular field = x+15

Perimeter of rectangular field = $2(Length + Breadth)=2(x+x+15)=2(2x+15)$

We are given that the perimeter of a rectangular field is 70 m

So,$2(2x+15)=70\\2x+15=35\\2x=20\\x=10$

Length = 10+15=25

Breadth = 10

Area of field = $25 \times 10 = 250$

Hence The area of the path is 250 sq.m.

#Learn more:

A lawn is 10m by 8m is surrounded by a path 1m wide. Find the area of path

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