Question

These figures are similar. The area of one is given. Find the area of the other.

Answer 1

The areas is 18 square inches

Answer 2

Answer:

The Area of the first figure is 18$in^{2}$

Step-by-step explanation:

Since the question states that both of the figures are similar we can use the information from figure 2 in order to find the area of figure 1. We do this by using the simple rule of three.

8$in$ ----> x

12$in$ ---> 27$in^{2}$

Since the ratios (figures) are stated to be similar we just solve the rule of three as shown above.

$\frac{(8in)(27in^{2} )}{12in} = x$

$\frac{216in^{3} }{12in } = x$

$18in^{2} = x$

Therefore the Area of figure 1 is 18$in^{2}$

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