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Find the area for each of the given shapes below. If a shape has shading, find the area of the shaded region only.



Find the area for each of the given shapes below. If a shape has shading, find the-example-1
User Maqueda
by
2.7k points

1 Answer

20 votes
20 votes

Answer:

a. 39 ft²

c. 2x² +11x +12

e. 35 yd²

Explanation:

a.

The missing vertical dimension is 5-3 = 2'. The missing horizontal dimension is 11-8 = 3'. Then the figure can be decomposed into a rectangle 11'×3' and one that is 3'×2'. The sum of those areas is ...

total area = (11 ft)(3 ft) +(3 ft)(2 f) = (3 ft)(11 +2 ft) = (3 ft)(13 ft) = 39 ft²

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c.

We don't know what to make of the rectangles in each corner, so we'll assume they are distorted right-angle indicators. The area is the product of the dimensions shown:

A = LW

A = (2x +3)(x +4) = 2x² +11x +12 . . . area of figure

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e.

The shaded area is half the area of the rectangle. That is the same area you get if you use the triangle formula for the area of the shaded triangle.

A = 1/2(14 yd)(5 yd) = 35 yd²

User Maksim Vorontsov
by
2.7k points
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