Question

Zahara plotted three points on a coordinate grid at ( − 4 , 5 ), ( 7 , 5 ), and ( 7 , − 1 ). She will plot a fourth point to create a rectangle on the grid. The rectangle represents the floor plan of her bedroom. Zahara wants to cover her bedroom floor with carpet. Each square unit represents 1 square foot. Zahara pays $ 264 to cover the floor in carpet. What is the unit price of 1 square foot of carpet?

Answer 1

To find the unit price of 1 square foot of carpet, you need to find the area of the rectangle and divide the total cost by the area. The unit price of 1 square foot of carpet is $4.

Step-by-step explanation:

To find the unit price of 1 square foot of carpet, we need to find the area of the rectangle represented by the floor plan of Zahara's bedroom. The rectangle is formed by the points (-4, 5), (7, 5), and (7, -1). To find the length of the rectangle, we subtract the x-coordinates of the first and second points: 7 - (-4) = 11.

To find the width, we subtract the y-coordinates of the second and third points: 5 - (-1) = 6. The area is then 11 * 6 = 66 square units.

Since each square unit represents 1 square foot, the area in square feet is also 66. To find the unit price, we divide the total cost ($264) by the area: $264 / 66 = $4 per square foot. Therefore, the unit price of 1 square foot of carpet is $4.