Question

the length of a rectangular playground is double that of its width. if the cost of fencing the whole ground is Rs 9000 at the rate of Rs 30 per metre ,find the dimensions of the ground.

Answer 1

Answer:

Step-by-step explanation:

Length = 2x = 100 m          

Breadth = x = 50 m

Perimetre = 2(length+ breadth )

9000 ÷ 30 = 2 ( 2x + x )                total money ÷ rate        

300 = 3x × 2                                    at which fencing        

50 = x                                              is done = perimetre

Answer 2

let the length of the playground be = 2x

let the breadth of the playground be = x
perimeter of the playground = total cost of fencing ÷ per metre cost of fencing
= 9000÷30 =300 meter
perimeter = 300 meter
perimeter of rectangle = 2 (l + b )
= 2( 2x + x) = 300 meter
= 4x +2x = 300 meter
= 6x = 300meter
x = 300÷ 6
x = 50
so, the length is 2x = 50 ×2 = 100 meter
and the breadth is x = 50 meter

Hope it help you