Answered

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The area of a garden is 24 square feet. The perimeter is 22 feet. What are the
measurements of each side?

Sagot :

Answer: Length = 8 feet

Width = 3 feet

Step-by-step explanation:

The perimeter will be calculated using the formula:

2l + 2w = 22 ....... i

The area will be calculated using the formula:

l × w = 24 ...... ii

From 2l + 2w = 22, divide through by 2:

l + w = 11 ........ i

l × w = 24 ....... ii

From I, w = 11 - l ...... iii

Out the value of equation iii into equation ii

l × w = 24

l × (11 - l) = 24

11l - l² = 24

l² - 11l + 24 = 0

l² -8l -3l + 24 = 0

l(l - 8) - 3(l - 8)

l - 8 = 0

l = 8

Length = 8 feet

Width = 11 - l = 11 - 8 = 3 feet

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