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. A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame, what is the length of the frame? Write the answer in decimal form.

Answer 1

Given :

A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame.

To Find :

The length of the frame.

Solution :

We know, perimeter of the rectangle is given by :

$P=2(l+b)\\\\P=2(3x+x)\\\\P=8x$

Now, it is given that 18 feet of wood is used.

So,

$8x=18\\\\x = 2.25\ feet$

Therefore, length of frame is given by  3x = 6.75 feet.

Hence, this is the required solution.

Answer 2

Answer: A, 6.75

Step-by-step explanation: If the frame is 3 times the width and Kyle uses 18 feet them this the only correct option out of the other 3.