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Can someone answer this for me? I haven’t done geometry in a while so I need a refresher.

Can someone answer this for me? I haven’t done geometry in a while so I need a refresher-example-1

1 Answer

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I believe I have to calculate the area of the shape. I'll do that.

Answer:

Total area = 23.04 square m

Explanation:

Area of a compound shape

The shape shown in the figure can be divided into two smaller rectangles. We need to find their dimensions.

The single tick in the 2 m side indicates the other side also measures 2 m. This means the width of one of the smaller rectangles is 5.2m - 2 m = 3.2 m

The double tick in the 5.2 m also indicates the length of that smaller rectangle is 5.2 m. Thus the two rectangles have their respective areas as:

A1 = 5.2 m * 3.2 m = 16.64 square m

A2 = 2 m * 3.2 m = 6.4 square m

The total area is:

At = 16.64 square m + 6.4 square m = 23.04 square m

Total area = 23.04 square m

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