These worksheets will teach your students how to calculate the areas of two similar figures.

If two distinct figures have the same shape they are called similar. If two figures are similar there should be a corresponding ratio between the length of each side of the figure. To find the area of similar figures determine the length ratio of height and the width of those figures. This corresponding ratio between figures is often referred to as the scale factor. The goal here is to determine the difference in the areas between two similar figures using the information provided about the lengths of their sides (formulas are provided).

Your focus on these sheets should be to determine the mixed ratios. Work the math by finding the mix that is common between the two figures and then run from there. It is always important to grasp the commonalities between each of the figures.



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Print Area of Similar Figures Worksheets

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Meet the Skill

Rectangle ABCD's sides are 4 and 10. Rectangle EFGH's sides are 7 times greater. How many times is the area of the bigger rectangle as compared to the smaller one?

Area of Similar Figures - Try the Skill

If 7% of sides are cut off of a square to get a new smaller similar square. What percentage of the area of the original area remains?

Area of Similar Figures - Practice the Skill

A triangle’s base and altitude are 4 and 7. Same dimensions for another triangle are 19 times the sides of the original one. How many times larger is the area of the bigger triangle as compared to the smaller one?

Practice the Skill Twice

If you cut off 8% of all sides of a rectangle to get a smaller similar rectangle. What percentage of the area of the original remains? Mike while playing with an image in his computer stretches it so that its sides are 112% of the original image. How many percent of the area of new image is the area of original image?

Area of Similar Figures - Show the Skill

Two similar rectangles are shown whose similarity ratio is 4:7. If the area of the larger one is 196 square inches.

Area of Similar Figures - Warm Up

Table lists some of the cardboard sizes. Find the areas. Which of the two cardboard varieties are similar? What percentage of the area of smaller cardboard of the area of the bigger similar one?