Question

Two corresponding sides of two similar pentagons are 16 cm and 28 cm. what is the ratio of the areas of the two pentagons?

Answer 1

Answer: The ratios of the area would be 3.5 times larger.

If you compare the ratios of the sides, you will find that they increase by 1.75 times.

28 / 16 = 1.75

Now, lets write an equation to see what change that would make on the area, if the sides increase by 1.75.

LW = A

1.74L x 1.75W = 3.5A

We have to multiply the 1.75 by 1.75 to find the change in area, which is 3.5.