Question

The area of rug is 108 square centimeters.the length of a rug is 6 cm less than twice a width.what is the width of the rug?

Answer 1

Answer:

The width of the rug is 24 cm

Step By Step Solution:

Let the width of the rug be 'x' cm, then according to the given data

Area of the rug = 108 cm²

Length of the rug = (2x - 6) cm

width of the rug = x cm

We know that area is given by the formula

Area = length × width

By substituting the values of length and width in the above formula, we get

=> Area = length × width

=> 108 = (2x-6) × 6

=> 2x-6 = 18

=> 2x = 24

=> x = 12 cm

$\boxed{{\text{The width of the rug is 24 cm}}}$

Answer 2

Given :

Area of rug = 108 $cm^{2}$

Length of rug = 6 cm less than twice a width

Let the width of rug be x cm

Therefore length of rug = (2x - 6) cm

To find :

The width of the rug.

Formula :

Area = length × width

Solution :

By substituting the values of length and width in the following formula, we get,

Area = length × width

108 = (2x - 6) × 6

2x - 6 = $\frac{108}{6}$

2x - 6 = 18

2x = 18 + 6

2x = 24

x = 12 cm

Final answer :

The width of the rug is 12 cm