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
Answers
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:
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