4 s = 32
s = 8 cm on a side
area = 8*8 =64 cm^2
(3/4) * 64 = 3 * 16 = 48 cm^2
s = 8 cm on a side
area = 8*8 =64 cm^2
(3/4) * 64 = 3 * 16 = 48 cm^2
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!
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.
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.