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Samantha wants to tile the floor of her bathroom that measures 20 feet long and 9 feet wide. She determines that she will need 1 tile for every 4 foot by 3 foot area. What is the minimum number of tiles that she will need to cover the entire bathroom floor?

Respuesta :

gingerpoet
Total area of bathroom = 20 × 9 =  180 square feet

Area of one tile = 4 × 3 = 12 square feet

She needs x number of tiles to cover entire bathroom floor:

x = 180 square feet ÷ 12 square feet
x = 15 tiles


Abotaiwo

Answer:

The answer is 15 tiles

Explanation:

The floor of the bathroom is the shape of a rectangle,

Therefore we find the area of the floor and find out the 4 foot by 3 foot in it.

Area of rectangle = Length x Width

                                          A  = l x w

                                Where l  = 20 feet

                                          w  = 9 feet

                                            A  = (20 x 9) feet

                                                 = 180 square feet

Every 4 foot by 3 foot area     = 1 tile

i.e.                   4 foot x 3 foot   = 1 tile

                            (4 x 3) feet    = 1 tile

                           12 square ft    = 1 tile

Conversion factor                      = 1 tile/12 square ft

How many 12 square ft inside 180 square feet

                       180 square feet  = 180 square feet x 1 tile/12 square feet

                                                   =  180 x  1 tile/12

                                                   =  15 x 1 tile

                                                   =  15 tiles

The step is that you calculate the area of the bathroom and divide by the number of feet for every one tile

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