On the blueprint of their new​ home, Ben and Heather notice the bathtub measures 6 in. by 7 in. They know that the actual bathtub will be 7.7 ft long. How wide will the tub​ be?

The width of the tub will be

1 answer

9.4 ft.

To find this, we can use the formula for the area of a rectangle: length x width.
Given that the length of the bathtub is 7.7 ft and the area on the blueprint is 6 in x 7 in, we first need to convert the blueprint measurements from inches to feet:
6 in is equivalent to 0.5 ft (since 1 ft = 12 in)
7 in is equivalent to 0.58 ft (since 1 ft = 12 in)

So the area on the blueprint is 0.5 ft x 0.58 ft = 0.29 ft²

Using the formula for the area of a rectangle: length x width, and rearranging to solve for width:
length x width = area
7.7 ft x width = 0.29 ft²
width = 0.29 ft² / 7.7 ft
width = 0.0376 ft

Therefore, the width of the tub will be approximately 9.4 ft.