Question

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IF the area of the frame was 64inches², what would be 2 possible sets of dimensions that could be used to make a frame with that area?

Answer 1

The side lengths could be 4 in. x 16 in. because that equals 64 inches^2. It could also be 8 in. x 8 in. because that also equals 64 inches^2.

Answer 2

Hello!

We know that the area of the frame is 64 inches^2. Let's list the factors of 64. They are:

1, 2, 4, 8, 16, 32, and 64.

There are many possible sets of dimensions.

The dimensions could be 1 in × 64 in, 2 in × 32 in, 4 in × 16 in, or 8 in × 8 in.

If the frame is shaped like a rectangle, then the first three sets of dimensions would be possible.
If it is a square, then the last (8 × 8) are possible.