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21 June, 00:54

The blueprint of a rectangular fountain shows that the length will be 7 feet longer than twice it's width. The area of the rectangular fountain is 85 feet squared.

Part A

Which equation represents the area of the fountain?

A

(w) (w+7) = 85

B

(w) (2w-7) = 85

C

(w+7) (2w) = 85

D

(w) (2x+7) = 85

+2
Answers (1)
  1. 21 June, 01:14
    0
    The equation that represents the area is (7 + 2W) (W) = 85

    Step-by-step explanation:

    Given

    Length = 7 ft longer than twice its Width

    Area = 85 ft²

    Required

    Expression for area of the fountain

    Let L represent the length of the fountain

    Let W represent the width of the fountain

    and

    Let A represent the area of the fountain

    The expected length is said to be 7 ft longer than twice its Width

    We'll break this statement into bits and represent it mathematically, as follows:

    twice its Width means 2 * W

    7 ft longer than means 7 +

    Combining these together; it gives

    = 7 + 2 * W

    = 7 + 2W

    Hence,

    L = 7 + 2W

    Recall that the area of a rectangle is calculated using the following formula

    Area = Length * Width

    This formula is represented mathematically as follows:

    A = L * W

    By substituting 85 for A and 7 + 2W for L, we have

    85 = (7 + 2W) * W

    85 = (7 + 2W) (W)

    Re order

    (7 + 2W) (W) = 85

    Hence, the equation that represents the area is (7 + 2W) (W) = 85
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