when folded into two equal halves a rectanguler aheet has a perimeter of 48 cm for each part.
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Explanation:
Given Given When folded into two equal halves a rectangular sheet has a perimeter of 48 cm for each part folded along one set of sides and the same is 66 cm when folded along other set of sides. Find the area of the sheet
- A rectangular sheet is folded into two equal halves and so the perimeter is 48 cm
- Let the sheet be folded along the breadth
- So it will be l / 2 + b = 48
- Now the perimeter is 66 cm
- Let the sheet be folded along the length
- So it will be l + b / 2 = 66
- So we have both the equations
- So l/2 + b = 48 multiply by 1
- So l + b/2 = 66 multiply by ½
- Now l/2 + b = 48
- So l/2 + b/4 = 33
- So b – b/4 = 15
- Or 3b = 60
- Or b = 20 cm
- Also l/2 + 20 = 48
- Or l/2 = 28
- Or l = 56 cm
- Now area of the sheet will be length x breadth
- = 56 x 20
- = 1120 sq cm
Reference link will be
https://brainly.in/question/7650077
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