. The sum of the areas of two squares is 325 cm2. The side of the larger square is 5 cm longer
than the side of the smaller square. Find the side of each square.
Answers
Answered by
4
Answer:
Let the side of square (1) = s
1
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
Answered by
0
Answer:
Let the side of square (1) = s
1
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
Step-by-step explanation:
Similar questions