Answer:

Step-by-step explanation:
Hello, I think I can help you with this.
According to the information provided in the problem, the area of a trapezoid is given by

Step 1
solve for a, it means isolate a

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Answer:
20 inches
Step-by-step explanation:
Since the cape is trapezoid shaped and has an area of 600 in², the area of a trapezoid is given by
A =1/2(a + b)h where a = length along the top of the cape = 24 in, b =  length along the bottom of the cape = 36 in and h = height of the cape
So, h = 2A/(a + b) 
= 2 × 600 in²/(24 in + 36 in) 
= 1200 in²/60 in 
= 20 in
So, the height of the cape is 20 inches