Peter wants to cover the floor with ceramic tiles. The floor has the shape of a trapezoid bases of 70 feet and 45 feet and a height of 15 feet. How many tiles does he need to buy, if one tile is of 1.3 ft.²?

Respuesta :

The area of the trapezoid is:

[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]

plugging the values given we have:

[tex]\begin{gathered} A=\frac{1}{2}(70+45)15 \\ A=862.5 \end{gathered}[/tex]

Now that we know the area of the floor we divide it by the area of each tile, then we have:

[tex]\frac{862.5}{1.3}=663.46[/tex]

Therefore we need 664 tiles (we need to round up) to cover the floor.