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.(1 point)
a. 28^-6^2
b. 22^2-6^2
c. 28^2-16^2
d. 22^2-16^2
The correct expression using the difference of two squares to find the area of the beach towel is c. 28^2-16^2.
To find the area of the beach towel using the difference of two squares, we need to use the formula:
Area = (Side 1 + Side 2) x (Side 1 - Side 2)
In this case, the sides of the beach towel are 16 feet and 28 feet.
Plugging the values into the formula, we get:
Area = (16 + 28) x (16 - 28)
Simplifying further:
Area = 44 x (-12)
Since the area cannot be negative, we can disregard the negative sign and get:
Area = 44 x 12
Calculating the product:
Area = 528
Therefore, the correct expression to find the area of the beach towel using the difference of two squares is c. 28^2-16^2.
To use the difference of two squares to find the area of the beach towel, we need to understand that the difference of two squares formula states that a² - b² = (a + b)(a - b).
In this case, the length of the towel is 28 feet and the width is 16 feet. So, we can express this as:
Area = length x width
= 28 feet x 16 feet
= (28 + 16)(28 - 16)
= 44 x 12
Among the given expressions, the correct one that matches the derived formula is:
c. 28^2-16^2
Therefore, Bianca can use the expression 28^2-16^2 to find the area of the beach towel.