From a rectangular sheet of tin,of size 100cm by 80cm,are cut four squares of side 10cm from each corner.Find the area of the remaining sheet.
What is the area of the original sheet ?
What is the area of one of the squares to be cut out?
How many of those cut-out squares are there?
What is left over after we cut them out?
... etc.
I'll wait for your reply and check your answers.
To find the area of the remaining sheet, we need to subtract the area of the four squares that were cut out from the total area of the rectangular sheet.
1. Start by calculating the area of the rectangular sheet. The length of the sheet is 100 cm and the width is 80 cm, so the total area is given by length multiplied by width:
Area of rectangular sheet = Length * Width = 100 cm * 80 cm = 8000 cm²
2. Next, calculate the area of each individual square that was cut out. From each corner, a square with a side length of 10 cm was cut out. Since there are four corners, the total area of the four squares is:
Area of one square = Side length * Side length = 10 cm * 10 cm = 100 cm²
Total area of four squares = 4 * 100 cm² = 400 cm²
3. Finally, subtract the area of the four squares from the total area of the rectangular sheet to find the area of the remaining sheet:
Area of remaining sheet = Total area of rectangular sheet - Total area of four squares
= 8000 cm² - 400 cm²
= 7600 cm²
Therefore, the area of the remaining sheet is 7600 cm².