Question

Dean needs 60 inches of wood to build a rectangular picture frame. The length l of the frame is twice its width w. Three of these equations give the correct value for w. Which equation does NOT?

A)
2·(2w+w)=60

B)
w+2w+w+2w=60

C)
2·w+2·2w=60

D)
w+2w=60

Answer 1

Equation D does not give the correct value of w because P= 2W + 2L. If needed I can explain more in depth.

Answer 2

D) W + 2W = 60

Explanation:

Let L represent the length of the frame

Let W represent the width of the frame.

From the question, the relationship between L and W is

L = 2W

Also, he question states that 60 inches of wood is needed to build the frame and the frame is rectangle.

This means the perimeter of the frame is 60inches

Perimeter of a rectangle = 2(L+W)

So, we have

2(L + W) = 60 --- open bracket

Replace L with 2W

2(2W + W) = 60 --- here option A is right

Open the bracket

2.2W + 2W = 60 ( dot (.) represent multiplication) --- here, option Cks right

Split the able equation

2W + 2W + 2W = 60 --- continue splitting

W + 2W + 2W+ W = 60 --- here, option B is right.

Hence, option D is the incorrect option.