Match the new coordinates that define the figure after dilation with a center at the origin by the given scale factor.
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Answer:
Step-by-step explanation:
The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.
<u>Formulas</u>:
- Area of rectangle with base
and height
:
- Area of triangle with base
By definition, the base and height must intersect at a 90 degree angle.
The rectangle has a base of 10 and a height of 5. Therefore, its area is .
The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is .
Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is .
Thus, the area of the total irregular figure is:
