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
We have an equation for the surface area of a rectangular prism:
A= 2 (w*l+ l*h+ h*w)
Plug l= 16 in, w= 12 in, and h= 5 in into the above equation, we have:
A= 2 (12 in*16 in+ 16 in* 5 in+ 5 in* 12 in)= 664 in^(2).
The final answer is 664 in^(2).
Hope this is helpful~
In an arithmetic sequence, the difference between consecutive terms is always the same. For example, the sequence 3, 5, 7, 9 ... is arithmetic because the difference between consecutive terms is always two.
It’s 734.12 so I’m pretty sure it’s less than 800
