Question

Your dad is designing a new garden for your backyard. He has 26 feet of fencing to go around the garden. He wants the length of the garden to be 3 1/2 feet longer than the width. How wide should he make the garden?

Answer 1

4.75

Explanation:

Answer 2

4.75 feet

Explanation:

Perimeter for any rectangular shape is given by 2(length + width).

Fencing the garden means one wiring the garden along the perimeter.

Thus, it can be concluded that garden has perimeter of 26 feet as given in question.

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Let the width be x feet

given that, He wants the length of the garden to be 3 1/2 feet longer than the width

thus, length of garden = x + 3 1/2 feet = x + 3.5 feet

if length is x+3.5 feet and width is x feet.

Then perimeter = 2( x+3.5 + x) = 2(2x+3.5) = (4x + 7) feet.

This perimeter will be equal to 26 feet fence

thus,

(4x + 7) = 26

=> 4x = 26 - 7 = 19

=> x = 19/4 = 4.75 feet

x is width of garden.

Thus, he should make the garden 4.75 feet wide.