Question

Sixteen ceramic tiles are needed to tile a 9 square foot area. At this rate, how many square feet can be tiled using 256 ceramic tiles?

a) 144 square feet

b) 162 square feet

c) 169 square feet

d) 180 square feet

Answer 1

The correct answer is option b) 162 square feet.Solving the proportion, we find that 256 ceramic tiles can tile approximately 40.5 square feet.

Step-by-step explanation:

To find out how many square feet can be tiled using 256 ceramic tiles, we can set up a proportion using the information given:

16 ceramic tiles tile a 9 square foot area. So, 256 ceramic tiles will tile x square feet

Using cross multiplication, we have:

16/x = 256/9

Cross multiplying, we get:

16 * 9 = 256 * x

Dividing both sides by 256 gives us:

x = (16 * 9) / 256

x = 9/2

Therefore, x = 81/2 = 40.5 square feet.

So, using 256 ceramic tiles, we can tile approximately 40.5 square feet.

Therefore, the correct answer is option b) 162 square feet.