Three paintings are shaped like an 8 ft sq, a 7ft by 4 ft rectangle, and a triangle with 6 ft base and a height of 7 ft. If those paintings are hung together n the outside of a building, how much of the buildings wall will they cover altogether? Please help



Answer :

The square has area 8*8=64, the rectangle has area 7*4=28, and the triangle has area 7*6/2=21.  Their sum is 64+28+21=113.

The area of the building wall that would be covered = 113 ft²

What is the Area of a Composite Shape?

Area of a composite shape = sum of all shapes that makes up the composite shape.

Thus:

The area of the building wall that would be covered = area of square + area of rectangle + area of triangle

= s² + length ×  width + 1/2(b × h)

= 8² + 7 ×  4 + 1/2(6 × 7) = 113

The area of the building wall that would be covered = 113 ft²

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