the dimensions of a rectangular plot are in the ratio of 8 ratio 7 the cost of fencing is rate 50 per metre if the total cost of fencing is rate 75000 find the dimensions of the rectangular plot
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Answer:
length =41.36m
breadth = 36.19m
Step-by-step explanation:
ratio of dimensions of a rectangular plot= 8:7
let 8x be the length and 7x be the breadth.
Area of rectangular, A=lb
A= 8x × 7x
A= 56x²
unit price for fencing =₹50/ m
total cost of fencing = ₹ 75000
Area of rectangular, A = 75000/50
A = 1500m²
we know, A = 56x²
so that,
56x² = 1500
x² = 1500/56
x² = 26.78
x = 5.17
length, l =8×5.17
l = 41.36m
breadth, b = 7x = 7 × 5.17
breadth, b = 36.19m
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