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13 December, 19:48

What is the lateral area of a pyramid with base edges 5ft and surface area 55ft^2? ... ?

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  1. 13 December, 20:16
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    The answer is 30 ft²

    The surface area (SA) of a pyramid is the sum of lateral area (LA) of the pyramid and the area of its base (BA):

    SA = LA + BA

    The area of the pyramid base (which is a square) with base edge a is:

    BA = a²

    We have:

    SA = 55 ft²

    LA = ?

    a = 5 ft

    LA = SA - BA = SA - a²

    LA = 55 - 5²

    LA = 55 - 25

    LA = 30 ft²
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