Question

How do I do the workout I need it fast

Answer 1

Answer: the area of the floor that has to be covered is:

A = 90*120 cm^2

We'll put the length of the tile as x.

The number of tiles that covers the length of the floor:

n = 120/x

The number of tiles that covers the width of the floor:

m = 90/x

To find the largest length of the tile, you'll have to determine the highest common factor (or Greatest Common Divisor) of 90 and 120:

90 = 2*3^2*5

120 = 2^3*3*5

GCD = 2*3*5 = 30 cm

The largest length of the tiles is of 30cm.

To find the number of tiles that are needed to cover the floor, we'll calculate the number of tiles needed to cover the length of the floor and the number of tiles needed to cover the width of the floor.

The number of tiles, whose lengths is 30, that covers the length of the floor is:

n = 120/30

n = 4 tiles

The number of tiles, whose lengths is 30, that covers the width of the floor is:

m = 90/30

m = 3 tiles

The total number of tiles needed to cover the floor:

m*n = 4*3 = 12 tiles

i hope this may help you

Step-by-step explanation: