Question

The floor of Sara’s bathroom is covered with tiles in the shape of triangles. Each triangle has a height of $5$ inches and a base of 12 inches If the floor of her bathroom has $50$ tiles, what is the area of the bathroom floor?

• A. $42{\text{in}}^2$
• B. $84{\text{in}}^2$
• C. $1,500{\text{in}}^2$
• D. $3,360{\text{in}}^2$

Answer 1

The correct option is C $1,500{\text{in}}^2$

Given:

Total number of tiles = $50$

Each triangular tile's dimensions,

$\text{Height}=5in$

$\text{Base}=12in$

Now,
Area of one tile = $\frac{1}{2}\times \text{Base}\times \text{Height}$
$=\frac{1}{2}\times 12\times 5=30i{n}^2$

Area of floor = $50\times \text{Area of each tile}$

Area of floor = $50\times 30=1500{\text{in}}^2$