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CBSE Class 8 Answered

if perimeter increased by 25% then area increased by how much
Asked by kisanravghodke | 04 Jan, 2023, 08:17: PM
answered-by-expert Expert Answer
The question must include a particular quadrilateral.
Assuming the quadrilateral to be square, the question must be:
Q. If perimeter increased by 25% then area increased by how much
Solution:
Perimeter of a square = 4(side) = 4a
Area of a square = (side)2 = a2
When space the space perimeter space is space increased space by space 25 percent sign New space perimeter space equals space straight P space plus space 25 percent sign space of space straight P space equals space fraction numerator 4 straight P over denominator 5 end fraction equals fraction numerator 4 left parenthesis 4 straight a right parenthesis over denominator 5 end fraction equals 1.25 left parenthesis 4 straight a right parenthesis New space side space of space square space equals space Perimeter over 4 equals 1.25 straight a New space area space equals space left parenthesis New space side right parenthesis squared space equals left parenthesis 1.25 straight a right parenthesis squared space equals space 1.5625 space straight a squared percent sign space increase space in space area space equals space fraction numerator New space area space minus space original space area over denominator Original space area end fraction cross times 100 equals fraction numerator 1.5625 straight a squared minus straight a squared over denominator straight a squared end fraction cross times 100 equals 0.5625 cross times 100 equals 56.25 space percent sign
Answered by Renu Varma | 06 Jan, 2023, 09:14: AM

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