Question

A nectangular carpet is placed on the floor of the wall leaving an area of 64m². If the length of the carpet is twice its width, determine the width of the carpet.

Answer 1

The width of the rectangular carpet with an area of 64m², and length twice its width, is approximately 5.66 meters.

Step-by-step explanation:

To determine the width of the rectangular carpet, we need to use the information that the area of the carpet is 64m² and that the length is twice the width. Let's call the width of the carpet 'w' meters. Then, the length would be '2w' meters. The area of a rectangle is found by multiplying the length by the width, so we have:

Area = length × width

64m² = 2w × w

64m² = 2w²

Dividing both sides by 2 gives:

w² = 32

Now, taking the square root of both sides to solve for 'w':

w = √32

w = 5.66 meters (rounded to two decimal places)

Therefore, the width of the carpet is approximately 5.66 meters.