Question

Carpets Plus has five square carpet remnants. Two of the remnants measure 8 feet on a side, and three of the remnants

measure 10 feet on a side. Which expression represents the total square footage of the five carpet remnants?
O 12 * 102) + (382)
82 +10%
5(8 + 10)2
O (2*82) + (3 x 102

Answer 1

The expression that represents the total square footage of the five carpet remnants is 5(8 + 10)2, which simplifies to 820 sq. ft.

Step-by-step explanation:

The expression that represents the total square footage of the five carpet remnants is:

5(8 + 10)2

To calculate this, we first find the area of each square carpet remnant. The area of a square is found by squaring the length of one side. So, the area of the first two remnants (8 ft. on a side) is 82 = 64 sq. ft. The area of the next three remnants (10 ft. on a side) is 102 = 100 sq. ft. Finally, we add up the areas of all five carpet remnants by multiplying 5 with the sum of the areas of the two different sizes of remnants: 5(82 + 102) = 5(64 + 100) = 5(164) = 820 sq. ft.