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4 October, 08:49

If the area of a rectangle is 85 square meters, and the width is ten meters

shorter than the length, find the perimeter of the rectangle in meters. Round

your answer to two decimal places.

A) 35.49 meters

B) 21.25 meters

C) 61.95 meters

D) 81.95 meters

E) 41.95 meters

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Answers (1)
  1. 4 October, 09:14
    0
    Answer: E.) 41.95m

    Step-by-step explanation:

    Area (A) = 85 square meters

    Length (L) = a

    Width (W) = (a - 10) meters

    Area of rectangle (A) = Length (L) * Width (W)

    85 = a * (a - 10)

    85 = a^2 - 10a

    a^2 - 10a - 85 = 0

    Using quadratic equation solver:

    a = 15.488088482 or a = - 5.488088482

    Since a cannot be negative, a = 15.49m

    Therefore, Length (L) = 15.488m

    Width (W) = a - 10 = (15.488 - 10) = 5.488m

    Perimeter of rectangle (P):

    P = 2 (L + W)

    P = 2 (15.488 + 5.488)

    P = 2 (20.976)

    P = 41.952m

    P = 41.95m
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