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