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Comparing Areas Suppose you have two squares, one of which is larger than the ot

ID: 2904355 • Letter: C

Question

Comparing Areas Suppose you have two squares, one of which is larger than the other. Suppose further that the side of the larger square is twice as long as the side of the smaller square. If the length of the side of the larger square is 3 inches, give the area of each square.
The area of smaller square is in².
The area of larger square is in².

How many of the smaller squares will it take to cover the larger square?
_______of the smaller square will cover the larger square.

Please show the work.

Explanation / Answer

side of the larger square is twice as long as the side of the smaller square

Larger side = 3

So, smaller square side = 3/2 or 1.5 inches

Area of the smaller square = 1.5*1.5 = 2.25 sq inches ---> ANSWER

Area of larger square = 3*3 = 9 sq inches ---> ANSWER

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How many of the smaller squares will it take to cover the larger square?

Just divide the areas...

9 sq inches divided by 2.25 sq inches

4 small squares ----> ANSWER

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