Area and perimeter Questions and answers

  1. Elementary Mathematics
    1. Quadratic Equations
    2. Simplification
    3. Area and perimeter
    4. Volume and surface area
    5. Geometry
    6. Trigonometry
    7. Polynomials
    8. Height and Distance
    9. Simple and Decimal fraction
    10. Indices and Surd
    11. Logarithms
    12. Trigonometric ratio
    13. Straight lines
    14. Triangle
    15. Circles
    16. Quadrilateral and parallelogram
    17. Loci and concurrency
    18. Statistics
    19. Rectangular and Cartesian products
    20. Rational expression
    21. Set theory
    22. Factorisation
    23. LCM and HCF
    24. Clocks
    25. Real Analysis
81). ABCD is a rectangle. Let E be a point on AB and F a point on CD such that DE is parallel to BF.If AE = 3 cm and if the area of \( \Large \triangle BFC \) = 6 sq cm.
Consider the following statements.
Area of rectangle ABCD can be of the form \( \Large pq^{2} \) sq cm, where p, q are distinct primes.
Area of the figure EBFD is of the form \( \Large r^{2} \)sq cm, where r is rational but 5 not an integer.
Which of the above statements is/are correct?

A). Only I
B). Only II
C). Both l and II
D). Neither I nor II
82). What is the area between a square of side 10 cm and two inverted semi-circular, cross-sections each of radius 5 cm inscribed in the square?
A). \( \Large 17.5 cm^{2} \)
B). \( \Large 18.5 cm^{2} \)
C). \( \Large 20.5 cm^{2} \)
D). \( \Large 21.5 cm^{2} \)
83). The diameters of two circles are the side of a square and the diagonal of the square. The ratio of the areas of the smaller circle and the larger circle is
A). 1 : 4
B). \( \Large \sqrt{2}:\sqrt{3} \)
C). \( \Large 1:\sqrt{2} \)
D). 1 : 2
84). A regular hexagon is inscribed in a circle of radius 5 cm. If x is the area inside the circle but outside the regular hexagon, then which one of the following is correct where n is positive real number?
A). \( \Large 12 cm^{2} < x < 15 cm^{2} \)
B). \( \Large 15 cm^{2} < x < 17 cm^{2} \)
C). \( \Large 17 cm^{2} < x < 19 cm^{2} \)
D). \( \Large 19 cm^{2} < x < 21 cm^{2} \)
85). Which one of the following is a Pythagorean triple in which one side differs from the hypotenuse by two units?
A). \( \Large (2n+1,4n,2n^{2}+2n) \)
B). \( \Large (2n,4n,n^{2}+1) \)
C). \( \Large (2n^{2},2n,2n+1) \)
D). \( \Large (2n,n^{2}-1,n^{2}+1) \)


86). The lengths of three line segments (in cm) are given in each of the four cases. Which one of the following cases is not suitable to be the three sides of a triangle?
A). 2, 3, 4
B). 2, 3, 5
C). 2, 4. 5
D). 3, 4, 5
87). Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.
A). 14 cm
B). 18 cm
C). 20 cm
D). 15 cm
88). The altitude of an equilateral triangle is \( \Large \sqrt{3} \)cm. What is its perimeter?
A). 3 cm
B). \( \Large 3\sqrt{3} \)cm
C). 6 cm
D). \( \Large 6\sqrt{3} \)cm
89). The area of a right angled triangle is 10 sq cm. If its perpendicular is equal to 20 cm, find its base.
A). 1 cm
B). 4 cm
C). 3 cm
D). 2 cm
90). The base of a triangular wall is 7 times its height. If the cost of painting the wall at Rs.350 per 100 sq m is Rs.1225, then what is the base length?
A). 50 m
B). 70 m
C). 75 m
D). 100 m
Go to :
Total Pages : 19