A sheet of paper measures 30 cm by 2 cm. A strip 5 cm wide is cut from it all around. Find the area of the remaining sheet and the strip cut out.
I think you need to proofread what you posted. This doesn't make sense.
How do you get it "5 cm wide... cut from all around" when it only measures 2 cm in one direction?
As far as I can tell:
The area cut would be 5*2 = 10 cm^2
The remaining area would b3 25*2 = 50 cm^2
I suspect it was 30 by 20 to start with.
To find the area of the remaining sheet and the strip cut out, we can break down the process into a few steps:
1. Start by finding the original area of the sheet of paper:
- The length of the sheet is given as 30 cm.
- The width of the sheet is given as 2 cm.
- To find the area, multiply the length by the width: 30 cm * 2 cm = 60 cm².
2. Calculate the area of the strip cut out:
- The strip is 5 cm wide and cut from all around the sheet.
- Since there are two lengths and two widths on the sheet, the total length cut out will be 2 * (30 cm + 2 cm) = 64 cm.
- To find the area of the strip, multiply the width of the strip by the length cut out: 5 cm * 64 cm = 320 cm².
3. Find the area of the remaining sheet:
- Subtract the area of the strip cut out from the original area of the sheet: 60 cm² - 320 cm² = -260 cm².
- However, we cannot have a negative area, so the area of the remaining sheet is 0 cm².
Therefore, the area of the remaining sheet is 0 cm², and the area of the strip cut out is 320 cm².