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A square picture with sides of 32 inches is to be mounted on a square mat with sides of 52 inches. Find the area of the mat that will remain uncovered by the picture.

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mathecoach

Answer:

52^2 - 32^2 = 1680 inches²

Area of the mat that will remain uncovered is 1,680 inches²

Given that;

Side of picture square = 32 inches

Side of square mat = 52 inches

Find:

Area of the mat that will remain uncovered

Computation:

Area of the mat that will remain uncovered = Area of mat - Area of picture

Area of the mat that will remain uncovered = [(52)(52)] - [(32)(32)]

Area of the mat that will remain uncovered = [2,704] - [1,024]

Area of the mat that will remain uncovered = 1,680 inches²

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