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Mensuration Practice Test 4
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© examsnet.com
Question : 11
Total: 40
The circumference of a circle is twice the perimeter of a rectangle. The area of the circle is 5,544 sq. cm. What is the area of the rectangle if the length of the rectangle is 40 cm?
1,120 sq. cm
1,020 sq. cm
1,140 sq. cm
1,040 sq. cm
Validate
Solution:
According to the statement,
2πr = 2(21l + b) .......(i)
Now area of the circle =
π
r
2
=
5544
c
m
2
r
2
=
5544
×
7
22
=
38808
22
r
2
= 1764
r = 42 cm
Substituting the value of r in equation (i)
2
×
22
7
×
42
= 2 (2 (40 + b))
264 = 160 + 4b
104 = 4b
b = 26 cm
Now area of the rectangle = l × b
= 40 × 26
= 1,040
c
m
2
© examsnet.com
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