Question

These figures are similar. The

area of one is given. Find the
area of the other.
9 in
area=32 in
12 in
[? ]in²
2

Answer 1

Answer: 18 in²

Explanation:

Answer 2

• 18 in²

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Find the scale factor by dividing the corresponding sides of the given figures:

• k = 9/12 = 3/4

The area is the product of two dimensions therefore the ratio of areas of similar figures is the square of the scale factor. Let the area of the smaller figure be A, then we got the ratio:

• A/32 = k²
• A/32 = (3/4)²
• A/32 = 9/16
• A = 32*9/16
• A = 18