Question

The area of a rectangular carpet is 18 square meters. The length of the carpet is 3 meters longer than the long is the carpet?

a) 2 meters
b) 3 meters
c) 4 meters
d) 6 meters

Answer 1

The width of the carpet is 3 meters, and the length of the carpet is 6 meters.

Step-by-step explanation:

To find the length of the carpet, let's assume that the width of the carpet is x meters. Since the length of the carpet is 3 meters longer than the width, the length can be represented as x + 3 meters.

Now, we know that the area of a rectangle is given by the formula length × width. So, we can set up the equation:

(x + 3) × x = 18

x^2 + 3x - 18 = 0

Using the quadratic formula, we can solve for x, and we find that x = 3.

Therefore, the width of the carpet is 3 meters, and the length of the carpet is 3 + 3 = 6 meters.