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dangina [55]
3 years ago
7

The height of a trapezoid is 13 yards. One of the bases is 2.5 times theheight, and the other base is two times the height. Find

the area of the trapezoid.
Mathematics
2 answers:
Llana [10]3 years ago
8 0

Answer:               380.25

Step-by-step explanation:

kirill [66]3 years ago
3 0

Answer:

The area is 380.25 squared yards.

Step-by-step explanation:

Area of a trapezoid is the average of the 2 bases times the height, so:

a =  \frac{2.5(13) + 2(13)}{2}  \times 13 \\ a =  \frac{32.5 + 26}{2}  \times 13 \\ a =  \frac{58.5}{2}  \times 13 \\ a =  29.25  \times 13 \\ a =  380.25

Therefore:

a =  380.25

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