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RBI Grade B Officers 21 Nov 2015 Paper
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© examsnet.com
Question : 7
Total: 200
Area of a rectangle is 96 square metre. When the length of the same rectangle is increased by 6 metres and the breadth is decreased by 3 metres, then the area of the rectangle decreases by 30 square metres. What is the perimeter of a square whose sides are equal to the length of rectangle?
48 m
60 m
80 m
64 m
52 m
Validate
Solution:
(4) Length of rectangle
= x metre (let)
∴ Its width
=
96
x
metre
According to the question]
∴
(
x
+
6
)
[
96
x
–
3
]
=
66
⇒
96
−
3
x
+
96
×
6
x
−
18
=
66
⇒
3
x
−
576
x
=
12
⇒
x
−
192
x
=
4
= 12
⇒
x
2
–
4
x
–
192
=
0
⇒
x
2
–
16
x
+
12
x
–
192
=
0
⇒
x
(
x
–
16
)
+
12
(
x
–
16
)
=
0
⇒
(
x
+
12
)
(
x
–
16
)
=
0
⇒
x
=
16
b
e
c
a
u
s
e
x
=
–
12
∴ Perimeter of square = 4 × 16= 64 metre
© examsnet.com
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