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

Question

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

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Thu Giang 2 months 2021-08-04T08:40:12+00:00 1 Answers 3 views 0

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    2021-08-04T08:42:03+00:00

    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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