Question

debra has two scarves. one is square and each side is 32 inches long. the other is rectangular and is 48 inches long and 20 inches wide. which statements about the two scarves are correct? select all that apply. (1 point) the area of the rectangular scarf is less than the area of the square scarf. the area of the rectangular scarf is 960 square inches. the area of the square scarf is the same as the area of the rectangular scarf. the area of the square scarf is 128 square inches. the area of the square scarf is 64 square inches more than the area of the rectangular scarf.

Explanation:

Step1: Calculate area of square scarf

The area formula for a square is $A = s^2$, where $s$ is the side - length. Given $s = 32$ inches, so $A_{square}=32^2=1024$ square inches.

Step2: Calculate area of rectangular scarf

The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Given $l = 48$ inches and $w = 20$ inches, so $A_{rectangle}=48\times20 = 960$ square inches.

Step3: Compare the areas

$A_{square}-A_{rectangle}=1024 - 960=64$ square inches. So the area of the square scarf is 64 square inches more than the area of the rectangular scarf.

Answer:

The area of the square scarf is 64 square inches more than the area of the rectangular scarf.
The area of the rectangular scarf is 960 square inches.