Which equation can be used to find the area of the composite figure pictured below?

Mathematics

1 answer:

skad [1K]2 years ago

8 0

Answer:

Step-by-step explanation:

The figure is made up of a rectangle and two triangles.

The dimensions of the 3 polygons are:

Rectangle: 8 m by 15 m

Triangle 1: 15 m base and 7 m height

Triangle 2: 9 m base and 8 m height

Total area =

= [8(15) + 15(7)/2 + 9(8)/2] m^2

Answer: A.

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qaws [65]

The picture of the calendar is shown in the attached image.

Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth
Therefore:
Volume of prism = 1/2 * base * height * depth
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base = 4 in
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depth is the depth of the calendar = 8 in
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Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3

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