Worksheet: Area Ratios of Similar Figures

Apply your knowledge of length and area ratios of similar figures on this worksheet. Find an unknown length or scale factor when the areas are known, and how to find an unknown area or scale factor when corresponding lengths are known.

Q1:

Given the following figure, find the area of a similar polygon in which .

Q2:

Given the following figure, find the area of a similar polygon in which .

Q3:

Given the following figure, find the area of a similar polygon in which .

Q4:

Given the following figure, find the area of a similar polygon in which .

Q5:

Given the following figure, find the area of a similar polygon in which .

Q6:

Given the figure shown, determine the area of a similar polygon, , in which .

Q7:

Given the figure shown, determine the area of a similar polygon, , in which .

Q8:

Given the graph, determine the area of similar polygon in which .

Q9:

These two shapes are similar, and their areas and are given. Find the value of .

Q10:

These two shapes are similar, and their areas and are given. Find the value of .

Q11:

These two shapes are similar, and their areas and are given. Find the value of .

Q12:

Rectangle is similar to rectangle with their sides having a ratio of . If the dimensions of each rectangle are tripled, find the ratio of the areas of the larger rectangles.

Q13:

Rectangle is similar to rectangle with their sides having a ratio of . If the dimensions of each rectangle are tripled, find the ratio of the areas of the larger rectangles.

Q14:

Rectangle is similar to rectangle with their sides having a ratio of . If the dimensions of each rectangle are doubled, find the ratio of the areas of the larger rectangles.

Q15:

Two corresponding sides of two similar polygons have lengths of 44 and 76 centimeters. Given that the area of the smaller polygon is 121 cm², determine the area of the bigger polygon.