Question

The area of a rectangle in the figure is 68 m². What are the width and length of the rectangle? Give answers both exactly in approximately (to the nearest 10th). There is 4 possible answers for this one.

Answer 1

Length = 16.5 meters.

Width = 4.1 meters.

Step - by - Step Explanation

What to find?

• Length

,

• Width

Given Parameters:

Length = 4x

Width = x

Area =68

The rectangle is given by the formula:

Area = length x width

Substitute the values into the formula above.

`68=4x* x`
`68=4x^2`

Divide both-side of the equation by 4.

`\frac{\cancel{4}x^2}{\cancel{4}}=(68)/(4)`
`x^2=17`

Take the square root of both-side of the equation.

`x=\pm\sqrt[]{17}`
`x\approx\pm4.1`

Since, there is no negative dimension, then the width = 4.1 meters.

The length = 4x

Substitute x=√17 into the above.

The length = 4 x √17 ≈ 16.5

Hence, the length = 16.5 meters.