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Measurements:
• Rectangle
Area = lb
Perimeter = 2(l+b)
• Square
Area = a×a
Perimeter = 4a
• Parallelogram
Area = l × h
Perimeter = 2(l+b)
• Triangle
Area =b×h/2
• Right angle Triangle
Area =1/2(bh)
Perimeter = b+h+d
• Isosceles Right Angle Triangle
Area = 1/2. a2
Perimeter = 2a+d
• Trapezium
Area = 1/2h(a+b)
Perimeter = Sum of all sides
• Rhombus
Area = d1 × d2/2
Perimeter = 4l
• Quadrilateral
Area =1/2 × Diagonal × (Sum of offsets)
• Kite
Area = d1×d2/2
Perimeter = 2 × Sum on non-adjacent sides
Aptitude Questions (Measurements):
1. If the sides of a triangle are 16cm, 14cm and 10cm. What is its area?
A) 70cm2
B) 130cm2
C) 120cm2
D) 150cm2
E) None of these
View Answer
Answer: option (A)
Explanation:
The triangle with sides 16 cm, 14 cm and 10cm is right angles, where the hypotenuse is 16cm.
Area of the triangle = ½ * 14 * 10 = 70 cm2
2. The perimeter of a triangle is 18 cm and the inradius of the triangle is 2 cm. What is the area of the triangle?
A) 25 cm2
B) 18 cm2
C) 20 cm2
D) 19 cm2
E) None of these
View Answer
Answer: option (B)
Explanation:
Area of triangle = r * s
Where, r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2 * 18/2 = 18 cm2
3. Find the area of trapezium whose parallel sides are 10 cm and 8 cm long and the distance between them is 5 cm.
A) 25 cm2
B) 75 cm2
C) 85 cm2
D) 45 cm2
E) None of these
View Answer
Answer: option (D)
Explanation:
Area of trapezium = ½ (sum of parallel sides) * (perpendicular distance between them)
= ½ (10 + 8) * (5) = 45 cm2
4. Find the area of parallelogram with base 14 cm and height 6 cm.
A) 62 cm2
B) 84 cm2
C) 92 cm2
D) 31 cm2
E) None of these
View Answer
Answer: option (B)
Explanation:
Area of parallelogram = base * height = 14 * 6 = 84 cm2
5. The ratio of the length and the breadth of a rectangle is 3:2 and the area of the rectangle is 2400 sq cm. Find the ratio of the breadth and the area of the rectangle.
A) 1:96
B) 1:48
C) 1:60
D) 1:68
E) None of these
View Answer
Answer: option (C)
Explanation:
Let the length and breadth of the rectangle be 3x and 2x respectively.
(3x) (2x) = 2400
6x2 = 2400
x2 = 400 = 4 * 100 = 22 * 102 (x>0)
=> x = 2 * 10 = 20
=> Ratio of the breadth and the areas = 2x : 6x2 = 1:3x = 1:60