Question

The length of a rectangular field is 10m longer than its breadth and its perimeter is 140m. Find the length and the breadth of the field.

Solveeeeeeeeeeeeeeee !!

Answer 1

let b=x m

then l=x+10 m

now, perimeter = 2 (l+b)

140= 2 (x+10+x)

70=2x+10

2x= 70-10

2x=60

x=60/2

x=30

so breadth=30 m

and length = 30+10=40m

Answer 2

Answer:

L = 40 m & B = 30 m

Step By Step Explanation:

Let breadth (b) of rectangular field be
x m.

Then, length (l) of the field = (x + 10) m.

Now,

Perimeter of the field = 140 m
⇒ 2 (l + b) = 140 m
⇒ 2 (x + 10 + x) = 140 m
⇒ 2 (2x + 10) = 140 m
⇒ 4x + 20 = 140 m
⇒ 4x = (140 - 20) m
⇒ x = 120 / 4 m
⇒ x = 30 m

Therefore:

Breadth of field (b) = x m = 30 m
Length of field (l) = (x + 10) m = 40 m.

Hence, The length and the breadth of the field are 40 m and 30 m respectively.