Question

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

Answer 1

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