The length of a rectangle is 12 cm more than its width. Find the area of the rectangle if its perimeter is 100 cm.

Question

The length of a rectangle is 12 cm more than its width. Find the
area of the rectangle if its perimeter is 100 cm.

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Kinsley 1 month 2021-10-12T06:29:55+00:00 1 Answer 0 views 0

Answers ( )

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    2021-10-12T06:31:27+00:00

    Dimensions of the rectangle (width and length) are 19 cm and 31 cm respectively.

    Step-by-step explanation:

    • Step 1: Given that the perimeter = 100 cm, let width be x cm and then length = 12 + x.

    Perimeter of a rectangle = 2(length + width)

    100 = 2(x + 12 + x)

    100 = 4x + 24

    4x = 100 – 24 = 76

    ∴ x = 76/4 = 19 cm

    ∴ Length = 19 + 12 = 31 cm

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