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9 January, 03:21

The length of a rectangle is 5 more than 3 times its width. The perimeter of the rectangle is 58 in. What is the length of the rectangle?

A. 23 in.

B. 29 in.

C. 32 in.

D. 35 in.

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Answers (1)
  1. 9 January, 03:50
    0
    The correct answer is option A. 23 in

    Step-by-step explanation:

    It us given that, the length of a rectangle is 5 more than 3 times its width. The perimeter of the rectangle is 58 in.

    To find the length of rectangle

    Let 'x' be the width of rectangle.

    Length = 3x + 5

    Perimeter of rectangle = 2 (length + width)

    58 = 2 (3x + 5 + x)

    58 = 2 (4x + 5)

    29 = 4x + 5

    4x = 29 - 5

    4x = 24

    x = 24/4 = 6

    Therefore length of rectangle = 3x + 5

    = 3*6 + 5 = 23 in

    The correct answer is option A. 23 in
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