Question

Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below.

TIME REMAINING

54:06

3x

x

If Kyle uses 10 feet of wood to make the frame, what is the length of the frame? Write the answer in decimal form,

0.75

4.60

0.00

Answer 1

3.75 feet

Explanation:

The length of the frame is 3 times the width.

Let the width be x.

The length will be 3x.

Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.

The perimeter of a rectangle is:

P = 2(L + W)

=> 10 = 2(3x + x)

=> 10/2 = 4x

5 = 4x

=> x = 5/4 = 1.25 feet

The width is 1.25 feet. The length is therefore:

1.25 * 3 = 3.75 feet