Question

The diagram shows corresponding lengths in two similar figures. Find the area of the smaller figure. A. 14.4 yd2 B. 24 yd2 C. 26.4 yd2 D. 28

Answer 1

A. 14.4 yd2

Explanation:

Answer 2

B. 24 yd^2

Explanation:

Let A denote the area of the smaller figure:

We can determine the ratio of both lengths and areas as:

3:5 :: A:40

As the areas of figures vary directly with their lengths and widths so the proportion will be direct proportion.

Converting into fractions will give us:

3/5 = A/40

Now we have to find the value of A for the area of smaller figure.

Cross multiplication will give us:

3*40 = 5A

=> 120 = 5A

=> 120/5 = 5A/5

So,

A = 24 yd^2

So, Option B is the correct answer ..