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

B. 24 yd^2

Step-by-step 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 ..

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