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3 years ago

can i please get an answer for this and a vivid explanation of how to solve it please. WILL MARK AS BRAINLIEST!

Mathematics

2 answers:

Lunna [17]3 years ago

5 0

Answer:

$9a^3b^3$

Step-by-step explanation:

marishachu [46]3 years ago

5 0

The answer is (ab)^3=a^3 b^3

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Ber [7]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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3 years ago

The area of rectangle ABCD is 72 square inches. A diagonal of rectangle ABCD is 12 inches and the diagonal of rectangle EFGH is

luda_lava [24]

Answer:

The area of rectangle EFGH is $242\ in^{2}$

Step-by-step explanation:

For this problem I assume that rectangle ABCD and rectangle EFGH are similar

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

Let

z ------> the scale factor

The scale factor is the ratio between the diagonals of rectangles

$z=\frac{22}{12}=\frac{11}{6}$

step 2

Find the area of rectangle EFGH

we know that

If two figures are similar, then the ratio of its areas is the scale factor squared

Let

z------> the scale factor

x -----> area of rectangle EFGH

y ----> area of rectangle ABCD

$z^{2}=\frac{x}{y}$

we have

$z=\frac{11}{6}$

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substitute and solve for x

$(\frac{11}{6})^{2}=\frac{x}{72}$

$\frac{121}{36}=\frac{x}{72}$

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3 years ago