Kate is going to carpet her living room floor and drew the diagram shown.
(I am not able to submit the drawn diagram. However I will try to describe) The diagram is a rectangle:
It is 16 feet at the top showing a right angle at the top left and a right angle at the top right. It is 11 feet on the left side with a right angle on the bottom left. It is 14 feet on the right side with a right angle on the bottom right. It is 10 feet on the bottom showing a right angle about 3/4 of the way adjacent to the right angle on the bottom right side of the rectangle.
What is the minimum number of square feet of carpet she will need?
a. 51 sq feet
b. 60 sq feet
c. 194 sq feet
d. 244 sq feet
Am I suppose to add all the sides together to get the answer?
Thank You
I don't see how the room can be a rectangle since the right and left side lengths are not equal. The top and bottom lengths (16 and 10) are also not equal. I would need a figure to see what is going on here.
Break the room area up into rectangles and add them up. Usually when buying carpet for a nonrectangular room, one buys more than you need so that smaller areas do not have to be patched together.
I agree with dwrls that you are not clear in the last part of your description.
I conclude that you have a smaller rectangel, 3 by 6, attached to the bottom right of your larger rectangle of 11 by 16
The area of that would be
11x16 + 6x3 = 194
To find the minimum number of square feet of carpet Kate will need, we need to calculate the area of the rectangle.
To do this, we can break the rectangle into smaller shapes and then sum up their areas.
Let's start by breaking the rectangle into two triangles and a rectangle.
Triangle 1: The top left corner of the rectangle forms a right triangle. The base of this triangle is 11 feet, and the height is 16 feet. To calculate its area, we can use the formula: Area = 1/2 * base * height = 1/2 * 11 * 16 = 88 square feet.
Triangle 2: The bottom right corner of the rectangle also forms a right triangle. The base of this triangle is 4 feet (14 - 10), and the height is 3/4 of 10 feet, which is 7.5 feet. To calculate its area, we use the same formula: Area = 1/2 * base * height = 1/2 * 4 * 7.5 = 15 square feet.
Rectangle: The remaining part of the rectangle is a rectangle with a length of 11 feet and a width of 4 feet (14 - 10). To calculate its area, we use the formula: Area = length * width = 11 * 4 = 44 square feet.
Finally, we add up the areas of the triangle and the rectangle:
88 + 15 + 44 = 147 square feet.
Therefore, Kate will need a minimum of 147 square feet of carpet.
However, none of the answer choices given match this result. So it appears that there may have been a mistake in the diagram or in the answer choices. Please double-check the information provided to ensure accuracy.