Question

How many bundles of strip flooring are needed to cover a rectangular floor area 14 ft by 13 ft 6 in in size if a bundle of strip flooring contains 29 sq​ ft, and if 25​% extra must be allowed for side and end​ matching?

Answer 1

Answer:

Under this conditions 8.15 strips will be needed to cover the floor.

Step-by-step explanation:

In order to solve this problem we first need to calculate the area of the floor, since it's rectangular it's area is given by the product of it's length and width. In this case one of these measurements was given to us with a mixed unit, we need to convert it to a single unit in order to calculate correctly. This is done bellow:

width = 13 ft 6 in

width = 13 ft + 6 in

width = 13 ft + (6 in)/12 = 13 + 0.5 = 13.5 ft

Now we can calculate the area of the floor as shown bellow:

floor area = width*length = 14*13.5 = 189 ft²

Since each strip is 29 ft² to calculate how many strip will be used we need to divide the area of the whole floor by the area of each strip. We have:

number of strips = 189/29 = 6.52

Althought there must be 25% more strips, so we need to multiply that value by 1.25.

number of strips = 6.52*1.25 = 8.15

Under this conditions 8.15 strips will be needed to cover the floor.