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26 June, 09:50

A pentagon is made of a triangle and a trapezoid. The height of the triangle shown is about 541 feet, and the height of the trapezoid is about 876 feet. Estimate the land area of the Pentagon.

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  1. 26 June, 10:08
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    about 1,459,063 ft^2

    Step-by-step explanation:

    The area of the triangle is ...

    A = (1/2) bh = (1/2) (1490 ft) (541 ft) = 403045 ft^2

    The area of the trapezoid is ...

    A = (1/2) (b1 + b2) h = (1/2) (1490 ft + 921 ft) (876 ft) = 1056018 ft^2

    Then the total land area is about ...

    403,045 ft^2 + 1,045,018 ft^2 = 1,459,063 ft^2
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