Question

a gardener wants to build a rectangular fence for his prize winning roses. the length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. what are the possible dimensions.

Answer 1

i. 6 feet by 3 feet

ii. 7 feet by 2 feet

iii. 8 feet by 1 feet

Explanation:

From the given question, we have;

length of the rectangular fence, l = 6 feet

perimeter of the rectangular fence = 18 feet

Let the width of the rectangular fence be represented by w.

So that,

Perimeter of a rectangle= 2(length + width)

18 = 2(6 + w)

18 = 12 + 2w

18 - 12 = 2w

6 = 2w

w =
`(6)/(2)`

w = 3

The width of the rectangular fence would be 3 feet when the length is 6 feet.

Thus, the possible dimensions of the rectangular fence are:

i. 6 feet by 3 feet

ii. 7 feet by 2 feet

iii. 8 feet by 1 feet