topic badge

8.07 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
Easy
2min

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

Easy
2min

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

Easy
3min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

G-GMD.5

Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k^2 , and k^3 , respectively; determine length, area and volume measures using scale factors.

What is Mathspace

About Mathspace