The floor of james’s living room is 12 feet by 18 feet.What is the area,in square feet,of the largest circular rug that can fit
in James’s living room?
2 answers:
Hi there!
Since we're trying to find a circular rug in a rectangular room room, we'll use a diagram like the image attached. As you can see, the circle uses the width of the room for its diameter. Since the room is 12 by 18, 12 would be the diameter of the circle since it is also the width of the room. Now, we need to find the area of the circle with a diameter of 12 feet. The radius would be 6 feet because the radius is always half of the diameter. The formula for the area of a circle is A = pi x r^2. All we need to do is to plug in the numbers to find the area of the circle. Plugging in the numbers, we get A = pi x 36. (36 is 6 squared) Therefore, the largest circular rug that can fit in James' living room is 36pi ft^2 or 113.1ft^2.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Since we're trying to find a circular rug in a rectangular room room, we'll use a diagram like the image attached. As you can see, the circle uses the width of the room for its diameter. Since the room is 12 by 18, 12 would be the diameter of the circle since it is also the width of the room. Now, we need to find the area of the circle with a diameter of 12 feet. The radius would be 6 feet because the radius is always half of the diameter. The formula for the area of a circle is A = pi x r^2. All we need to do is to plug in the numbers to find the area of the circle. Plugging in the numbers, we get A = pi x 36. (36 is 6 squared) Therefore, the largest circular rug that can fit in James' living room is 36pi ft^2 or 113.1ft^2.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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Answer: b.14
Step-by-step explanation:
We have two shelves, the top shelf and the bottom shelf
.
Now, firstly we are told the top shelf has 10 more than 1/3 the number of books on the bottom shelf. This can be expressed as:
(1)
Then, we are told there are 12 books on the bottom shelf:
(2)
Substituting (2) in (1):
(3)
(4)
(5) This is the number of books on the top shelf
Hence, the correct option is b.