Question

the length and breadth of a rectangular playground is in the ratio of 4:1 .the cost of fencing the playground at the rate of ₹50 per metre is ₹ 5000 find the dimensions of the playground​

Answer 1

Answer:

ratio=4:1

cost of fencing=50 per metre

total cost=5000

perimeter=5000/50

=100

sum of ratio=4+1=5

perimeter of rectangle=2(l+b)

= 2(4x+1x)

100 = 8x+2x

100=10x

x =100/10

x=10

length. =4×10=40

breath. =1×10=10

Answer 2

Answer:

length = 40  units

breath = 10  units

Step-by-step explanation:

as we know the cost of fencing the playground = ₹ 50 per meter

and total cost = ₹5000

so to find the perimeter of the playground we divide ₹5000 with ₹50

5000/50 = 100

so the perimeter of the playground  = 100 units

so the formula of the perimeter of rectangle = 2 ×(length + breath)

100 = 2 × (4x + 1x )

100 = 8x + 2x

100= 10x

x = 100/10

x = 10

so length = 4 × 10 = 40 units

breath = 1 × 10 = 10 units

hope you have understood it

Thank you