Question

A rectangular field which is twice as long as it
is broad, has an area of 14450 sq m. What is
Its perimeter?
(A) 85 m
(B) 510 m
(C) 165 m
(D) 170 m​

Answer 1

Answer: the answer is B - 510

Step-by-step explanation:Area = length x width

 

  A = L x W

 

 14450 = (2w) x w   <--- length is twice the width

 

14450 = 2w^2

 

7225 = w^2

 

w = 85

 

Length is Area/Width = 14450/85 = 170

 

Perimeter = 2 * length + 2 * width

 

             = 2 * 170 + 2* 85

 

            = 510

Answer 2

let breadth be x

the length = 2x

$area = 14450 \\ = > 2x \times x = 14450 \\ \\ = > {x}^{2} = 7225 \\ \\ = > x = \sqrt[2]{7225} \\ \\ = > x = 85 \: m$

length = 170 m

breadth = 85 m

perimeter = 2( 170 + 85)

= 2 x 255

= 510 m