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Find the Surface Area

Find the Surface Area-example-1
User Zzzzz
by
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1 Answer

7 votes

Answer:

120 km squared.

Explanation:

The shape shown has 5 sides: three rectangles and 2 triangles.

If you examine each triangle closely, they are 3-4-5 triangles. The area of one triangle is 3 * 4 * 1/2 = 12 * 1/2 = 12 / 2 = 6. Since there are two triangles, the total area of the triangles is 6 * 2 = 12 km squared.

The three rectangles have the same length, but their widths differ. They all have a side length of 9 km, but the largest rectangle has a width of 5 km, the medium has a width of 4 km, and the smallest has a width of 3 km.

So, the rectangles' areas added up will be (9 * 5) + (9 * 4) + (9 * 3) = 45 + 36 + 27 = 108 km squared.

And so, the total surface area is 12 km squared + 108 km squared, or 120 km squared.

Hope this helps!

User Bryna
by
7.0k points
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