Evaluate the area of the region, Mathematics

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Evaluate the area of the region.

243_Evaluate the area of the region.png

a. 478 units2

b. 578 units2

c. 528 units2

d. 428 units2

 

b. Refer to the diagram to evaluate the area of the shaded region. One method is to enclose the diagram into a rectangle, and subtract the area of the unwanted regions from the area of the rectangle. The unwanted regions have been labeled A through F. The area of region A is (15)(4) = 60. The area of region B is (5)(10) = 50. The area of region C is (20)(5) = 100. The area of region D is (17)(3) = 51.

The area of region E is (20)(5) = 100. The area of region F is (10)(5) = 50. The area of the rectangle is (23)(43) = 989. The area of the shaded region is 989 - 60 - 50 - 100 - 51 - 100 - 50 = 578. If you select a, c or d, you omitted one or more of the regions A through F.


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