If a sheet of paper measures 35cm by 25cm and a strip of 5cm width is cut out from all around the sheet, then, the area of the remaining sheet will be 375 sq. cm, and that of the cut-out strip will be 500 sq. cm.
As per the question statement, a sheet of paper measures 35cm by 25cm and a strip of 5cm width is cut out from all around the sheet.
We are required to calculate the area of the remaining sheet and that of the cut-out strip.
To solve this question, first, we need to know the formula to calculate the area of a rectangle, which goes as,
[A = (l * w)]
Where, "A" is the area of the rectangle, "l" is the length and, "w" is the width of it.
Here, initially before the strip was cut out,
Length of the sheet (l) = 35 cm,
And, Width of the sheet (w) = 25 cm.
Then, Area of the Sheet applying these above-mentioned dimensions to the formula to calculate the area of a rectangle
= (35 * 25) sq. cm
= 875 sq. cm.
Now, after a strip of 5cm width is cut out from all around the sheet,
Length of the sheet (l) changes to [35 - (2 * 5)] = (35 - 10) = 25 cm,
And the width (w) changes to [25 - (2 * 5)] = (25 - 10) = 15 cm.
Applying the new dimensions to the formula to calculate the area of a rectangle, we get,
[A = (25 * 15)] sq. cm
Or, (A = 375 sq. cm)
That is, Area of the remaining sheet after a strip of 5cm width is cut out from all around from a sheet of paper measures 35cm by 25cm will be 375 sq. cm.
And, Area of the cut-out strip will be [(875 - 375) = 500] sq. cm.
To learn more about the Area of a rectangle, click on the link below,
https://brainly.com/question/16737507
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