jonesnaimah9
jonesnaimah9 jonesnaimah9
  • 25-08-2021
  • Mathematics
contestada

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. A=(a+b)2h

The formula for a trapezoid relates the area A the two bases a and b and the height h Aab2h class=

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jimthompson5910 jimthompson5910
  • 25-08-2021

You are correct. The answer is choice C.

Explanation:

We can solve for 'a' like so

[tex]A = \frac{(a+b)}{2}h\\\\2A = (a+b)h\\\\\frac{2A}{h} = a+b\\\\\frac{2A}{h}-b = a\\\\a = \frac{2A}{h}-b\\\\[/tex]

In the second step, I multiplied both sides by 2. Afterward, I divided both sides by h in the third step. Lastly, I subtracted b from both sides to isolate 'a' in step 4. Each step is following PEMDAS in reverse to undo every operation done to variable 'a'.

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