Carol wants to make a quilt using a scale of 1.5 inches = 2 feet. Her scale drawing is 7.5 inches by 10.5 inches. What is the area of the actual quilt?

7.5" = 10'

10.5" = 14'

10x14 = 140 ft^2

To find the area of the actual quilt, we need to convert the dimensions of the scale drawing to their equivalent measurements in feet. Given that the scale is 1.5 inches = 2 feet, we can set up the following proportion:

1.5 inches x feet
------------ = --------
2 feet 7.5 inches

By cross-multiplying, we get:

1.5 inches * 7.5 inches = 2 feet * x

11.25 = 2x

To solve for x, we divide both sides of the equation by 2:

x = 11.25 / 2
x = 5.625 feet

We can follow the same steps to calculate the equivalent width in feet:

1.5 inches x feet
------------ = --------
2 feet 10.5 inches

1.5 inches * 10.5 inches = 2 feet * x

15.75 = 2x

x = 15.75 / 2
x = 7.875 feet

Now that we have the dimensions of the actual quilt in feet, we can calculate its area by multiplying the length and width:

Area = Length * Width
Area = 5.625 feet * 7.875 feet

Area = 44.328125 square feet

Therefore, the area of the actual quilt is approximately 44.33 square feet.

To find the area of the actual quilt, we would first need to use the given scale to convert the measurements of the scale drawing to the measurements of the actual quilt. Then we can use the converted measurements to find the area.

Given scale: 1.5 inches = 2 feet

Scale drawing measurements:
Width = 7.5 inches
Height = 10.5 inches

To convert the width and height of the scale drawing to the actual quilt measurements, we can use the given scale.

Conversion for width:
Actual width = (7.5 inches) * (2 feet / 1.5 inches) = 10 feet

Conversion for height:
Actual height = (10.5 inches) * (2 feet / 1.5 inches) = 14 feet

Now that we have the actual width and height of the quilt, we can find the area by multiplying the width and height together.

Area of the actual quilt = (10 feet) * (14 feet) = 140 square feet

That response is impossible because the problem is described in inches not feet!!