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Two squares have sides x cm and (x+5)cm .The sum of their areas is 697 sq.cm.-thanks (i)Express this as an algebraic equation in x. (ii)Solve this equation to find the sides of the squares.
Asked by rashikulkarni28 | 21 Jul, 2022, 08:36: PM
answered-by-expert Expert Answer
Two squares have sides x cm and (x+5)cm .The sum of their areas is 697 sq.cm
Hence
x2 + (x+5)2 = 697
2x2+10x+25 = 697
2x2+10x-672=0
x2+5x-336=0
 
Solving
x2+21x-16x-336=0
(x+21)(x-16)=0
x=-21
x=16
 
sides can't be negative
x=16
 
so sides are 16 and 21
Answered by Arun | 22 Jul, 2022, 10:23: AM

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ICSE 10 - Maths
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