100k views
5 votes
The length of a rectangle is twice the width. The area is 162 yd? Find the length and the width.

The length is yd.
(SimplifyJyour answer.)

User Catchmikey
by
5.4k points

1 Answer

11 votes

Answer:

length = 2x = 2(9) = 18 yds

Explanation:

Let width = x

Let length = 2x

Area = 162 yd2

length × width = Area

2x(x) = 162

2x2 = 162

Divide by 2 on both sides of equation.

x2 = 81

Square-root both sides of equation to undo the exponent.

x = √(81)

x = 9

Substitute this x value into the initial variables.

width = x = 9 yds

length = 2x = 2(9) = 18 yds

User Alexey Petushkov
by
5.7k points