Answer:
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Step-by-step explanation:
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The area would be 144cm^2.
In order to find the area, we need to know the length of the rectangle. We can find that using the perimeter formula.
2l + 2w = P
2l + 2(36) = 80
2l + 72 = 80
2l = 8
l = 4
So now that we know the length is 4, we can find the area using that formula.
A = lw
A = (4)(36)
A = 144
First, find the scale factor.
8.4 / 7 = 1.2
9 / 7.5 = 1.2
7.2 / 6 = 1.2
Since both solids are different sizes, the solids aren't congruent.
The size ratio for all the sides are:
8.4:7
9:7.5
7.2:6
Since the scale factor isn't 1:1 this also proves that the solids are NOT congruent.
Since both solids are the same kind of shape and have an identical scale factor, the solids are similar.
Best of Luck!
