2 small rectangles are cut out from a rectangular piece of paper along the dotted lines as shown below. The breadth of the paper is 15 cm. The perimeter of the paper after cutting is 82cm.What is the length of the rectangular paper before the cutting?
Question
2 small rectangles are cut out from a rectangular piece of paper along the dotted lines as shown below. The breadth of the paper is 15 cm. The perimeter of the paper after cutting is 82cm.What is the length of the rectangular paper before the cutting?
Solution
The question doesn't provide a visual, but based on the description, we can assume that the two small rectangles are cut out from the ends of the rectangular paper.
Let's denote the length of the rectangular paper before cutting as L.
The perimeter of a rectangle is given by the formula 2*(length + breadth).
After the two small rectangles are cut out, the breadth of the paper remains 15 cm, but the length is reduced. However, the total perimeter is now made up of the perimeter of the large rectangle minus the lengths of the two small rectangles plus the widths of the two small rectangles.
Given that the perimeter after cutting is 82 cm, we can write the equation as follows:
2*(L - 2x + 15) = 82, where x is the length of the small rectangles.
Solving this equation will give us the length of the rectangular paper before cutting.
Please note that without the lengths of the small rectangles, we cannot solve this equation. More information is needed to provide a numerical answer.
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