A piece of square paper has a perimeter of 32 centimeters. Nicky's dog, Rocky, tore off 1/4 of the paper. What is the area of the remaining paper?
Well, it sounds like Rocky wanted a doggone piece of the action! But no worries, we'll figure out the area of the remaining paper.
If the square paper has a perimeter of 32 centimeters, that means all four sides have a total length of 32 centimeters. Since it's a square, each side would be 32 centimeters divided by 4, which gives us 8 centimeters per side.
Now, if Rocky tore off 1/4 of the paper, we need to find out how much area was torn off. Since the paper is square, the area of the whole paper would be 8 centimeters multiplied by 8 centimeters, which gives us 64 square centimeters.
To find the remaining area, we need to subtract the torn off area from the whole area. So, 64 square centimeters minus 1/4 of 64 square centimeters would leave us with 3/4 of 64 square centimeters.
You can do the math. Happy calculating!
To find the area of the remaining paper, we need to first find the side length of the original square. The perimeter of a square is equal to 4 times the length of one side. Since the given perimeter is 32 centimeters, we can divide it by 4 to find the length of one side:
32 cm ÷ 4 = 8 cm
So, the original square had a side length of 8 centimeters.
Next, we need to find the area of the torn off piece. Since Rocky tore off 1/4 of the paper, we can find its area by taking 1/4 of the area of the original square:
Area of torn off piece = (1/4) × (side length)^2
= (1/4) × (8 cm)^2
= (1/4) × 64 cm^2
= 16 cm^2
Now, to find the area of the remaining paper, we subtract the area of the torn off piece from the area of the original square:
Area of remaining paper = Area of original square - Area of torn off piece
= (side length)^2 - Area of torn off piece
= 8 cm x 8 cm - 16 cm^2
= 64 cm^2 - 16 cm^2
= 48 cm^2
Therefore, the area of the remaining paper is 48 square centimeters.
To find the area of the remaining paper, we need to first determine the dimensions of the original square. Since we're given the perimeter, we can divide it by 4 to obtain the length of one side.
Perimeter of a square = 4 * side length
Given that the perimeter is 32 centimeters, we can solve for the side length:
32 cm = 4 * side length
Dividing both sides by 4:
side length = 32 cm / 4 = 8 cm
So, the original square paper had sides measuring 8 centimeters each.
Next, we need to calculate the area of the original square:
Area of a square = side length * side length
Area = 8 cm * 8 cm = 64 cm²
Finally, we need to calculate the area of the remaining paper after Rocky tore off 1/4 of it. Since the quarter torn off is also a square, it will have the same side length as the original square.
Area of torn off square = side length * side length
Area of torn off section = (1/4) * 64 cm² = 16 cm²
To find the area of the remaining paper, we subtract the torn-off area from the original area:
Remaining area = Original area - Torn-off area
Remaining area = 64 cm² - 16 cm² = 48 cm²
Thus, the area of the remaining paper is 48 square centimeters.
4 s = 32
s = 8 cm on a side
area = 8*8 =64 cm^2
(3/4) * 64 = 3 * 16 = 48 cm^2