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24 September, 17:02

Two rectangular lawns are similar shapes.

One has an width of 550 feet and one of the width of 250 feet. The bigger lawn has an area

of 181,500 square feet. Find the area of the smaller lawn

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Answers (1)
  1. 24 September, 18:47
    0
    The answer to your question is Area = 37500 ft²

    Step-by-step explanation:

    Data

    lawn 1 lawn 2

    width = 550 ft width = 250 ft

    Area = 181500 ft² Area = ?

    Process

    1. - Find the length of lawn 1

    Area = length x width

    -solve for length

    length = Area/width

    -Substitution

    length = 181 500 ft² / 550

    -result

    length = 330 ft

    2. - Find the length of lawn 1 using ratios and proportions

    550 : 330 : : 250 : x

    x = (250 x 330) / 550

    x = 150 ft

    3. - Find the area of lawn 2

    -Substitution

    Area = 250 x 150

    -Result

    Area = 37500 ft²
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