The length of a rectangular garden is 17 feet longer than its width. If the area of the garden is 234 square feet, what are the

Question

3 years ago

8

dimensions of the garden?

1 answer:

kifflom [539] · Answer 1 · 2022-09-19T04:43:16+03:00

Answer:

The garden is 9 feet wide and 26 feet long.

Step-by-step explanation:

L = W+17

area = LW = 234

(W+17)W = 234

W²+17W-234 = 0

Quadratic formula

W = [-17 ± √(17² – 4·1(-234))] / [2·1]

= [-17 ± √1225] / 2

= [-17 ± 35] /2

= -26, 9

-26 is an extraneous solution

W = 9

L = W+17 = 26

The garden is 9 feet wide and 26 feet long.