Question

Brooklyn wants to carpet the rectangular floor of her basement. The basement has an area of 972 square feet. The width of the basement is 3/4 it's length. What is the length of Brooklyn's basement?

Answer 1

Length=36

Step-by-step explanation:

Answer 2

Length = 36 feet

Width = 27 feet

Step-by-step explanation:

Area of a rectangular floor = length × width

Area of a rectangular floor = 972 square feet.

Length = x

Width = 3/4x

Area of a rectangular floor = length × width

972 = x * 3/4x

972 = 3/4x²

x² = 972 ÷ 3/4

= 972 × 4/3

= 3,888/3

x ² = 1296

x = √1296

x = 36

Length = x = 36 feet

Width = 3/4x

= 3/4*36

= 108/4

= 27 feet