Question

a lawn is in the form of rectangule whose sides are in the ratio
5:3.the area of the lawn is 3375msq.find the cost of fencing the lawn at rs 65 per meter

Answer 1

According to the question :

Ratio of length and breadth of rectangle = 5 : 3

Area = 3375 msq.

Let length be 5x

And breadth be 3x

Area of rectangle = l × b

= 5x × 3x = 15x^2

15x^2 = 3375

x^2 = 3375 / 15

x^2 = 225

x = root 225

x = 15

5x = 15 × 5 = 75

3x = 15 × 3 = 45

So length = 75 m

Breadth = 45m

Perimeter = 2 ( l + b )

= 2 ( 75 + 45 )

= 2 × 120 = 140m

Cost of fencing = Rs 65 per metre

Total cost = 140 × 65 = Rs 9100

Hope it helps you.

Have a good day.