Question

The perimeter of a rectangular garden is 9696 meters. The length is 6 meters longer than twice the width. Find the dimensions of the garden.

Answer 1

length = 3234 m and width = 1614 m

let the width = w then length = 2w + 6

Perimeter = 2 ( length + width )

= 2 (2w + 6 + w ) = 2 ( 3w + 6 ) = 6w + 12

given perimeter = 9696 the equating gives

6w + 12 = 9696

subtract 12 from both sides

6w = 9696 - 12 = 9684

divide both sides by 6

w =
`(9684)/(6)` = 1614

width = 1614 m and length = (2 × 1614 ) + 6 = 3234 m