We want to find the area of the red carpet. Notice that the carpet is in a shape of a rectangle.
The formula for the area of a rectangle is the product of the length and the width of the figure.
Area = l * w
The length of the red carpet is the same as the length of the whole floor, 100 23 feet. To find the width of the carpet, we need to find 16 of the width of the floor, 63 feet. When we multiply fractions, remember that the product is equal to the product of the numerators divided by the product of the denominators.
We found that the area of the carpet is 1 057 square feet.
Checking Our Answer
Checking Reasonableness
To check if our answer is reasonable, we can use the length and the width of the carpet to underestimate and overestimate the area. Let's underestimate first!
Underestimate: 100 * 10 = 1000
Now, we will make an overestimate for the area.
Overestimate: 101 * 11 = 1111
Finally, we can say our answer is reasonable because it fits between our two estimates.
1000 < 1 057 < 1111 ✓
