Question

A rectangle is twice as long as it is wide. The area of the rectangle is 32 square feet. Find the rectangle's width.

Answer 1

x*y = 32
x = 2y

8 and 4. The width is 4 and the height is 8.

Answer 2

Answer: Length = 8 feet --- Width = 4 feet

Step-by-step explanation: Since the rectangle is twice as long as it is wide, we can use "X" to represent the rectangles width and "2x" to represent its length. The area of a rectangle is length × width and since the area of the rectangle is 32 and the length and width are "2x" and "X", we can set up an equation to represent this.

32 = (2x) (x)

32 = 2x²

↓ ↓

32 = 2x²

÷2 ÷2

16 = x²

If we want to get the "x" term by itself, we take the square root of both sides and we find that 4 = x. The width of the rectangle is 4 feet and the length of the rectangle is 2 (4) which equals 8 feet. Therefore, the length of the rectangle is 8 feet and the width is 4 feet.