the sum of the areas of 2 square frames is 53 square centimeter. the length of the side of the larger square is 5cm more than that of the smaller square. Find the length of a side of each square
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hello
what happen ??
your answer
The side of 2
nd
square = a
Acc to Ques :
s=5+a _ (1)
and s
2
+a
2
=325 _ (2)
so, (5+a)
2
+a
2
=325
25+a
2
+10a+a
2
=325
2a
2
+10a=300
2a
2
+10a−300=0
a
2
+15a−5a−150=0
(a+15)(a−5)=0
∴a=5
and s=10
∴ side of smaller square = 5 cm
side of larger square = 10 cm
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