Bianca has a large beach towel measuring 16 feet by 28 feet. How can she use the difference of two squares to find the area of the beach towel? Select from the following expressions.
282−62
28 squared minus 6 squared
222−62
22 squared minus 6 squared
282−162
28 squared minus 16 squared
222−162
22 squared minus 16 squared
The correct expression to use the difference of two squares to find the area of the beach towel is:
28 squared minus 16 squared (282−162)
To use the difference of two squares to find the area of the beach towel, we need to identify two perfect square terms in the dimensions of the towel. In this case, the dimensions are 16 feet by 28 feet.
We can express 16 as 4 squared (4^2) and 28 as 2 squared times 7 (2^2 * 7).
So, the correct expression to find the area using the difference of two squares is 28 squared minus 4 squared.
Therefore, the correct expression is 282−42.