Question

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?

Answer 1

Drawing scale is 1.5 inches = 2 feet

So, first we convert the dimensions used in drawing to actual dimension using this scale.

1.5 inches = 2 feet
1 inch =
`(2)/(1.5)` feet

⇒ 7.5 inches =
`(2)/(1.5) *7.5` = 10 feet
⇒ 10.5 inches =
`(2)/(1.5)*10.5` = 14 feet

This means, the dimension of actual quilt are 10 feet by 14 feet. So the Area of the actual quilt will be:

Area = 10 x 14 = 140 feet²

So, area of actual quilt is 140 feet²