# The number of square tiles needed to tile a square floor is equal to a^2 -: b^2, where a is the floor length in inches and b is the length of the tile in inches. If a = 96 and b =8, how many tiles are needed?

May 17, 2018

144

#### Explanation:

No. of square tiles needed = ${a}^{2} / {b}^{2}$

So, if $a = 96$ and $b = 8$, then all you do is you have to sub into your 2 numbers into the equation

No. of square tiles needed = ${96}^{2} / {8}^{2} = 144$

May 17, 2018

$144$ tiles are needed.

#### Explanation:

Area of floor is ${96}^{2}$ square inches and

area of each tile is ${8}^{2}$ square inches

Hence, number of tiles needed are

$\frac{96 \times 96}{8 \times 8}$

= $\frac{{\cancel{96}}^{12} \times {\cancel{96}}^{12}}{{\cancel{8}}^{1} \times {\cancel{8}}^{1}}$

= $12 \times 12$

= $144$