What is the length of a rectangle with an area of 8 1/10 ft.² and a width of 2 1/4 feet?

Answer 1

To find the length of the rectangle, you can divide the area by the width.

Area = Length × Width

8 1/10 ft² = Length × 2 1/4 ft

To simplify calculations, convert all measurements to improper fractions.

8 1/10 ft² = 81/10 × 9/4 ft

Multiply the fractions:

8 1/10 ft² = 729/40 ft²

To isolate the length, divide the area by the width:

Length = (Area) ÷ (Width)

Length = (729/40 ft²) ÷ (9/4 ft)

Divide the fractions:

Length = (729/40 ft²) × (4/9 ft)

Multiply the fractions:

Length = 324/10 ft²

Simplify the fraction:

Length = 32 4/10 ft

Convert the mixed number back to a decimal:

Length = 32.4 ft

Therefore, the length of the rectangle is 32.4 feet.