Area of a rectangle is 34

Question

The area of a rectangle is 34. The width of the rectangle is half of the length. What is the width and length of the rectangle

Answer 1

The area of a rectangle is equal to length times width and that the area is 34

1) A=(L)*(W) (L)*(W)=34

We also know that the width of the rectangle is half the length

2) W=(1/2)*(L) or L=(2)*(W)

So we can plug in L=(2)*(W) to our area equation and that will allow us to solve for W

3) (W)*(2W)=34 -> 2W²=34 -> W²=17 -> W=√17

Now we can use that length value to solve for the width

4) L=(2)*√17 L=2√17

Just to be safe we can check our work

5) (L)*(W)=34 2√17*√17 = 2*(17) = 34

Answer 2

Area = L x W = 34. 2 W = L ∴, 2 w x w = 34, 2 W² = 34, W² = 17, √W² = √17,

W = 4.123. L = 8.246. 4.123 x 8.246 = 33.998.