Question

PLEASE HELP ASAP.....!! 10 pts

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


Set 1:


Set 2:


Show your work/Explain your thinking:

Answer 1

Possible dimensions are 16 × 4 inches and 32 × 2 inches.

Explanation:

We are given that,

Area of the frame = 64 inch² = Length × Width

Now, we have that 64 can be factored as,

64 = 32 × 2

64 = 16 × 4

64 = 8 × 8

Since, the frame is in a rectangular shape. So, we reject the possibility of 8 × 8 inches frame.

Thus, the possible dimensions are,

Set 1: 16 × 4 inches

Set 2: 32 × 2 inches.