Question

Mandana is ordering new tile for her kitchen floor. The area of the floor is 117.7 square feet, and she wants to order between 15% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?

Answer 1

137 square feet

Step-by-step explanation: First, convert the percents to decimals to simplify the calculation.

15% = 15 ÷ 100

= 0.15

20% = 20 ÷ 100

= 0.2

Next, multiply the area of the floor by 0.15 and 0.2 to find the least and greatest amount of extra tile Mandana should order.

0.15 × 117.7 square feet = 17.655 square feet

0.2 × 117.7 square feet = 23.54 square feet

Then, add the amounts of extra tile to 117.7 square feet to find at least and at most how much tile she should order.

117.7 square feet + 17.655 square feet = 135.355 square feet

117.7 square feet + 23.54 square feet = 141.24 square feet

So, Mandana should order between 135.355 square feet and 141.24 square feet of tile.

Therefore, 137 square feet is a reasonable amount of tile for Mandana to order.

Answer 2

To find a percentage increase of 15%, you can multiply the original value by 1.15.
To find a percentage increase of 20%, you can multiply the original value by 1.2.

117.7 * 1.15 = 135.355
So if she orders 15% extra tile, she will order around about 135.355 square feet.

117.2 * 1.2 = 141.24
And if she orders 20% extra tile, she will order around about 141.24 square feet.

Any number between those two values will be the amount of tile she might order.