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21 May, 01:34

A family is building a circular fountain in the backyard. The yard is rectangular and measures 14x by 19x and the fountain is going to be circular with a radius of 6x. What's the area of the remaining yard?

A. 230piex^2

B. 230x^2

C. 266x^2

D. 2x^2 (133-18pie)

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Answers (1)
  1. 21 May, 03:24
    0
    Remaining yard area = Rectangular yard area - circular fountain area

    Rectangular area = LxW

    where

    L = 19x

    W = 14x

    substitute the variables

    = 14x x 19 x

    = 266 x^2

    circular fountain area = pi r^2

    where r = 6x

    subsitute the variable

    = 36pi x^2

    remaining yard area = 266x^2-36pix^2

    = 2x^2 (133-18pie)

    The answer would be letter D. 2x^2 (133-18pie)
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