Measuring and estimating area of miscellaneous shapes

Given polygons A and B are similar with corresponding dimensions shown, what is the area of polygon B?

• 6.67 m²

• 3.33 m²

• 10 m²

• 22.5 m²

Find the ratio (red to blue) of the area.

• 9/14
• 14/9
• 196/81
• 81/196

True or False: If two figures are similar, the ratio of their corresponding sides squared is equivalent to the ratio of their areas.

• True

• False

Find the ratio (red to blue) of the area.

• 9/14
• 14/9
• 196/81
• 81/196

The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.

The area of the smaller triangle is _________

(Round to the nearest whole number as​ needed.)

In similar figures, the ratio of the areas is equal to the ratio of the sides _____

• doubled

• squared

• cubed

• halved

The areas of two similar triangles are 36 sq in. and 64 sq in. respectively. Find the ratio of the lengths of a pair of corresponding sides.

• $\frac{6}{8}$

• $\frac{9}{16}$

• $\frac{3}{4}$

• $0.56$

Two similar figures have a side ratio of 4:7. What is the ratio of their areas?

• 4:7

• 7:4

• 16:49

• 8:14

Given that the figures are similar, find the area of the shaded figure.

• 450 in²

• 300 in²

• 133.3 in²

Two similar parallelograms have a side ratio of 5:8. The area of the larger parallelogram is 126 square feet. Which of the following is the correct proportion to find the area of the smaller prism?