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PtichkaEL [24]
2 years ago
9

A trapezoid with an area of 166.75 in has bases that measure 21 in and 8 in find the height of the trapezoid

Mathematics
2 answers:
frosja888 [35]2 years ago
7 0
The formula for the area of a triangle is A= (a+b/2)•h. We substitute in the values we know to find h, which is the height:

•166.75= (21+8/2)•h. Add 21 and 8 so you can simplifying the fraction.
•166.75= (29/2)•h. Divide 29 by 2.
•166.75= 14.5h. Divide both sides by 14.5 so you can get h by itself.
•h=11.5.

The height of the trapezoid is 11.5 inches.
Evgen [1.6K]2 years ago
3 0

Answer:


Step-by-step explanation:

So we know the formula of the area of a trapezoid is base 1 plus base 2 times the height divided by 2.

To find the height you must add the both bases and then divided it by two, and then you divided it by 166.75.

Here is the equation:

21+8/2=14.5 14.5x=166.75

Your answer is 11.5

Hope this answer helps you solve other problems like this.

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