a rectangular piece of paper has length=14cm and breadth=12cm. A square piece of paper of perimeter 24 cm is cut off from it. what is the area of the piece of paper left
the original area is 12*14 = 168
the square piece is 6x6, with area 36
I assume you can now solve the problem.
To find the area of the piece of paper left, we first need to calculate the side length of the square piece of paper that was cut off.
Given that the perimeter of the square piece of paper is 24 cm, we can calculate the length of one side of the square by dividing the perimeter by 4 (since a square has all sides equal in length).
Perimeter of the square = 4 * side length
24 cm = 4 * side length
Dividing both sides of the equation by 4, we get:
side length = 24 cm / 4
side length = 6 cm
Now, let's calculate the area of the square piece of paper that was cut off. Since a square has all sides equal in length, we can simply square the side length to find the area.
Area of the square piece of paper = side length^2
Area of the square piece of paper = 6 cm * 6 cm
Area of the square piece of paper = 36 square cm
To find the area of the piece of paper left, we need to subtract the area of the square piece of paper from the total area of the rectangular piece of paper.
Total area of the rectangular piece of paper = length * breadth
Total area of the rectangular piece of paper = 14 cm * 12 cm
Total area of the rectangular piece of paper = 168 square cm
Area of the piece of paper left = Total area of the rectangular piece of paper - Area of the square piece of paper
Area of the piece of paper left = 168 square cm - 36 square cm
Area of the piece of paper left = 132 square cm
Therefore, the area of the piece of paper left is 132 square cm.