Question

The length of a rectangle is twice the width. The area of the rectangle is 66 square units. The rectangle is _ units long and _ units wide

Answer 1

Answer is length = 22 width = 11

Step by step:

lets take width as x then length will be 2x

perimeter of rectangle is 2(L+W)

So our equation is 2(2x+x)= 66

Solve by first distributive multiply

4x + 2x = 66

Combine like terms

6x = 66

Divide both sides by 6 to solve for x

X = 11

Now to find length and width

width is x then length will be 2x

Width is 11 and length is 2(11) or 22

You can check your work

perimeter of rectangle is 2(L+W)

So

2(11 + 22) = 66
22 + 44 = 66

66 = 66

Problem solved!