Question

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? Set 1: Set 2: Explain your thinking:

Answer 1

To resolve this exercise you have to choose two numbers that when you multiply them, you get 64:

For Set 1: If you choose to make a square frame, you can calculate its dimensions by clearing the value of each sides of it from the formula of the area of a square:

A= L²
L= √A
L= √64 inches²
L= 8 inches

So, you have a square frame of 8 inches x 8inches = 64 inches²

Set 1: 8 inches x 8 inches

For set 2, you can make a rectangular frame with the following dimensions: 16 inches x 4 inches = 64 inches²

Set 2: 16 inches x 4 inches