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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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