Question

The area of a rectangle is 320 in^2. The ratio of the length to the width is 5:4. Find the length and the width.

Answer 1

Answer:

• length: 20 in
• width: 16 in

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is 5/4w, and the area is ...

  A = LW

  320 in² = (5/4w)(w)

  256 in² = w² . . . . . . . . . multiply by 4/5

  16 in = w . . . . . . . . . . . . take the square root

  5/4w = 5/4(16 in) = 20 in . . . . the length

The length of the rectangle is 20 inches; its width is 16 inches.