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6.05 Perimeters and areas of similar figures

Interactive practice questions

Consider the two similar rectangles shown in the figure.

a

Find the area of Rectangle A.

Area A = $\editable{}$cm2

b

Find the area of Rectangle B.

Area B = $\editable{}$cm2

c

What is the ratio of the area of Rectangle A to Rectangle B?

d

Is it true in this case that if the matching sides of two similar figures are in the ratio $m:n$m:n, then their areas are in the ratio $m^2:n^2$m2:n2?

True

A

False

B

True

A

False

B
Easy
Approx 2 minutes
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The corresponding sides of two similar figures are in the ratio $7:3$7:3.

The figures in each pair are similar. By first finding the ratio of the sides, what is the value of the variable?

Find the value of $x$x in each of the following cases:

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