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What’s the area of this shape? All the units are feet. And show how each triangle and rectangle are calculated

What’s the area of this shape? All the units are feet. And show how each triangle-example-1

1 Answer

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Answer: 160 feet square

Explanation:

so as we can see the shape is a combination of 4 shapes

2 triangles and 2 rectangles

so for the first rectangle

the area would be 8 x 11 = 88

and for the second rectangle it'd be 6 x 7 =42

so 88+ 42 = 130

then for the first triangle it has a height of 8 and base of 6

therefore its area is 1/2 x 6 x 8 = 24

for the second triangle the base is 6 but the height is not given

but we have the sum of the height and the side of rectangle given as 9

thus the side of the rectangle is 7 we can find the height of the triangle by 9-7 which is 2

therefore height of triangle = 2

therefore area of second triangle is 1/2 x 2 x 6 = 6

therefore areas of the triangles => 6+24 = 30

therefore total area = 30 + 130 = 160

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