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lilavasa [31]
3 years ago
8

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

dimensions of the garden?
Mathematics
1 answer:
kifflom [539]3 years ago
3 0

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.

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