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johnandashley5p65r4a
19.02.2020 •
Mathematics
The length of a vegetable garden is 6 feet longer than its width. If the area of the garden is 135
square feet, find its dimensions.
Assign a variable, write an equation, solve the equation, and state the answer.
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Ответ:
The width of the garden is 9 feet.
The length of the garden is 15 feet.
Step-by-step explanation:
The vegetable garden is in rectangular shape since the measure of length and width are different.Let 'x' be the width of the gardenlength = (x+6) feetArea = 135 sq.feetArea of the rectangle = length
width
⇒ 135 = (x+6)x
⇒ 135 = x² + 6x
⇒ x²+6x-135 = 0
Using factorization method,
x²+6x-135 = 0
⇒ (x+15)(x-9) = 0
∴ x = -15 and x = 9
The width of the garden is 9 feet.
The length of the garden is (x+6) = 15 feet.
Ответ: