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.

Specially For Siddhartharao77

Answer 1

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.

Answer 2

Answer:

30 m, 40 m

Step-by-step explanation:

Let the breadth of the field be 'x' m.

Then, the length of the field = x + 10.

Given, Perimeter = 140 m.

⇒ 2(l + b) = 140

⇒ 2(x + 10 + x) = 140

⇒ 2(2x + 10) = 140

⇒ 4x + 20 = 140

⇒ 4x = 120

⇒ x = 30.

Therefore,

⇒ Length of the field = 40 m.

⇒ Breadth of the field = 30 m.

Hope it helps!