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23 votes
23 votes
A composite figure is shown below.

What is the area of the composite figure?
12 in.
0204 square inches
222 square inches
3 in.
5 in.
228 square inches
4 in. 4 in.
234 square inches
24 in.
8 in.

A composite figure is shown below. What is the area of the composite figure? 12 in-example-1
User Nick Andriopoulos
by
3.1k points

1 Answer

6 votes
6 votes

Answer:

234 square inches

Explanation:

Ok take this shape step by step. First solve the rectangle.

The area of the rectangle would be: 24 * 8 = 192

Rectangle Area: 192

Then, solve the area for the triangle in the middle.

The area of that triangle would be: 8 * 3 divided by 2. You get 8 by the base of the triangle, 4 + 4. 3 is of course, the height. Lastly, you divide this by 2 because that is the formula for the area of a triangle. When you solve, you get 12.

Middle Triangle Area: 12

Then solve for the last triangle.

Doing the same thing, the area for that triangle is 12 * 5 divided by 2. So solve, 12*5 = 60, 60/2 = 30

Last Triangle area: 30

Finnally, add all the areas up,

192 + 12 + 30 = 234

User Abedin
by
2.6k points