Question

The perimeter of a rectangular garden is 4534 m. The length is 1125 m more than thrice the width. Find the length and the width of the rectangular garden. (Estimate to the nearest tenths place and verify the reasonableness).

Answer 1

length = 1696 m

breadth = 571 m

Explanation:

perimeter = 4534 m

let breadth be b

so length = b + 1125 m

so

perimeter of rectangular garden = 2(l+b)

4534 m = 2(b+1125m+b) {substituting the value}

or, 4534 m = 2(2b+1125m)

or, 4534 m = 4b + 2250 m

or, 4534 m - 2250m = 4b

or, 2284m = 4b

or, b = 2284m/4

so, b = 571m

so, l = b + 1125 m

= 571 m + 1125m

= 1696 m