A room is being carpeted and the model of the carpet is shown in the image. If the cost of 1 square foot of carpet is $20, what is the cost of the whole carpet?

Question

(1 point)
Responses

$1,010
$1,010

$1,170
$1,170

$610
$610

$1,060

Answer 1

$1,010

To find the cost of the whole carpet, we first need to find the area of the room in square feet.

The room can be divided into two rectangles, one smaller rectangle and one larger rectangle.

The smaller rectangle has dimensions 4 feet by 6 feet, so its area is 4 feet x 6 feet = 24 square feet.

The larger rectangle has dimensions 10 feet by 6 feet, so its area is 10 feet x 6 feet = 60 square feet.

Adding the areas of the smaller and larger rectangle, we get: 24 square feet + 60 square feet = 84 square feet.

The cost of 1 square foot of carpet is $20, so the cost of the whole carpet is 84 square feet x $20 = $1,680.