A rectangular room is 1.2 1.2 times as long as it is wide, and its perimeter is 35 35 meters. Find the dimension of the room.

Question

A rectangular room is 1.2 1.2 times as long as it is wide, and its perimeter is 35 35 meters. Find the dimension of the room.

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Nem 5 years 2021-09-04T23:01:24+00:00 1 Answers 33 views 0

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    2021-09-04T23:02:52+00:00
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    Answer:

    I. Length, L = 9.552 meters

    II. Width, W = 7.96 meters

    Step-by-step explanation:

    Let the length = L

    Let the width = W

    Given the following data;

    Perimeter = 35 m

    Translating the word problem into an algebraic equation, we have;

    Length = 1.2W

    To find the dimension of the room;

    The perimeter of a rectangle is given by the formula;

    P = 2(L + W)

    Substituting into the formula, we have;

    35 = 2(1.2W + W)

    35 = 2(2.2W)

    35 = 4.4W

    Width, W = 7.96 meters

    Next, we would find the length of the rectangle;

    L = 1.2*W

    L = 1.2 * 7.96

    Length, L = 9.552 meters

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