Question

The length and breadth of a rectangular field are in the ratio 7:4 if its perimeter is 440 m,find its length and breadth

Answer 1

Given : Ratio of length and breadth is 7 : 4

Perimeter is 440m


To find : Length and Breadth


Solution :

Let the common multiple be x

So, let the length be 7x and breadth be 4x


According to the given condition

2(length + breadth) = Perimeter

By putting the values

☛ 2(7x + 4x) = 440

☛ 2 × 11x = 440

☛ 22x = 440

Dividing both the sides by 22, we get :

∴ x = 20


∴ Length ☛ 7x

☛ 7 × 20

☛ $\large{\boxed{\boxed{\textsf{140\:m}}}}$


∴ Breadth ☛ 4x

☛ 4 × 20

☛ $\large{\boxed{\boxed{\textsf{80\:m}}}}$

Answer 2

let length and breadth be 7x and 4x

perimeter of rectangular field = 440

2 (l + b) = 440
2 ( 7x + 4x) = 440
2 * 11x = 440
22x = 440
x = 440
____
22
= 20
x = 20
7x = 7*20
= 140
4x = 4*20
= 80
length is 140 and breadth is 80

hope it helps you
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