Mathematics, 21.06.2019 20:00 rina62

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

The diagram shows corresponding lengths in two similar figures. find the area of the smaller figure.

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Answer from: BobJRJR

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 ..

Answer from: gymer630

A. 14.4 yd2

Step-by-step explanation:

Answer from: mr1martin

36cm^2 is your answer

Answer from: quynhnguyen7454

Correct choice is D

Step-by-step explanation:

If two similar figures have the coefficient of similarity k, then the ratio between the area of these figures is equal to k^2.

You are given corresponding lengths in two similar figures, then

$k=\dfrac{15}{20}=\dfrac{3}{4}.$

Therefore,

$\dfrac{A_{small}}{A_{large}}=\left(\dfrac{3}{4}\right)^2=\dfrac{9}{16}$

and

$A_{small}=\dfrac{9}{16}\cdot A_{large}=\dfrac{9}{16}\cdot 64=9\cdot 4=36\ cm^2.$

Answer from: kappy10

Correct choice is D

Step-by-step explanation:

If two similar figures have the coefficient of similarity k, then the ratio between the area of these figures is equal to k^2.

You are given corresponding lengths in two similar figures, then

$k=\dfrac{15}{20}=\dfrac{3}{4}.$

Therefore,

$\dfrac{A_{small}}{A_{large}}=\left(\dfrac{3}{4}\right)^2=\dfrac{9}{16}$

and

$A_{small}=\dfrac{9}{16}\cdot A_{large}=\dfrac{9}{16}\cdot 64=9\cdot 4=36\ cm^2.$

Answer from: curtisepps

Just multiply

Answer from: michealsfamily

Step-by-step explanation:

The area of a parallelogram is given by the formula

A = bh

where b is the base length, and h is the height.

Answer from: melissa578

The area are in the ratio of the squares of corresponding sides.

That is 15^2 : 20^2 = 225:400

so the area of the smaller figure = (225/400) * 64

= 0.5625 * 64

= 36 cm^2 (answer)

Answer from: jagger68

Hey! My last name's Alvarez too! Anyway, the answer came out to 180cm squared. Hope I helped! Since you can barely get more than one or two answers on this site

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