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26 August, 20:19

A family is having a pool built in their backyard. If their yard is rectangular and measures 10x by 10x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built? Write your answer in factored form.

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  1. 26 August, 23:28
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    Area of rectangle=legnth times width

    area of circle=pi time radius^2

    are left=yard-pool

    given

    legnth an dwidth are 10x

    area=10x times 10x=100x^2=yard

    area of pool=

    pi times (2x) ^2

    pi times 4x^2

    4pix^2=pool

    yard-pool=100x^2-4pix^2 = (100-4pi) x^2

    aprox

    87.42x^2 of the yard

    minus
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