Question

The area of a rectangle is 20 square feet. If the length is 2 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.

A. Length = 4.47 feet, Width = 2.24 feet
B. Length = 5.00 feet, Width = 2.50 feet
C. Length = 4.00 feet, Width = 2.00 feet
D. Length = 5.66 feet, Width = 2.83 feet

Answer 1

The dimensions of the rectangle are Length = 6.32 feet, Width = 3.16 feet.

Step-by-step explanation:

To find the dimensions of the rectangle, we can set up an equation using the given information. Let's say the width of the rectangle is x feet. Since the length is 2 times the width, the length would be 2x feet. The area of the rectangle is 20 square feet, so we can write the equation as:

x * 2x = 20

2x^2 = 20

x^2 = 10

x = √10

Using a calculator, we find that √10 is approximately 3.16. Therefore, the width of the rectangle is approximately 3.16 feet, and the length is 2 * 3.16 = 6.32 feet.

Rounding off to the nearest hundredth, we get:

Length = 6.32 feet, Width = 3.16 feet