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weeeeeb [17]
3 years ago
13

The widths of two similar rectangles have a ratio of 2:6 . The area of the smaller rectangle is 12 ft2. What is the area of the

larger rectangle? Enter your answer in the box.
Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Answer:

The area of the larger rectangle is 108\ ft^{2}

Step-by-step explanation:

we know that

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

and the ratio of its corresponding sides is equal to the scale factor

Let

z-----> the scale factor

x-----> the area of small rectangle

y-----> the area of larger rectangle

so

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

we have

z=2/6

x=12\ ft^{2}

substitute  and solve for y

(2/6)^{2} =\frac{12}{y}

y=12/(4/36)=108\ ft^{2}

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2 years ago
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mash [69]

Answer:

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Subtract 3 from each side

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Divide each side by 2

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<em>Check: </em>

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7 0
3 years ago
Help pleasee , thank you so much in advance
Tanzania [10]
Pretty sure the answer would be 32. It’s basic subtraction I think.
3 0
3 years ago
Read 2 more answers
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