Question

The backboard in basketball is a rectangle with an area of 21 sq. ft. If the width of the backboard is 6 feet, what is the height of the backboard?

a) 15 feet
b) 10 feet
c) 3.5 feet
d) 4 feet
e) 4.5 feet

Answer 1

The height of the basketball backboard is calculated using the area formula for rectangles. By dividing the area by the width, we find that the height is 3.5 feet.

Step-by-step explanation:

To find the height of the basketball backboard, we can use the formula for the area of a rectangle which is Area = width × height. Given the area (21 sq. ft.) and the width (6 ft.), we can rearrange the formula to solve for the height: height = Area/width. Substituting the known values gives us: height = 21 sq. ft. / 6 ft. = 3.5 ft. Therefore, the height of the backboard is 3.5 feet, which corresponds to option c).