Perimeter: Path that surrounds a shape.
* Perimeter is the sum of length of all external boundary.
Area: Region occupied by external boundary.
1. What is the area of a triangular field of dimensions 6 m, 8 m, 10 m?
A) 48 m2 B) 24 m2 C) 35 m2 D) 49 m2
ANS: 24 m2
2. The area of the rectangle is 27000 m2. The ratio of the sides is 6 : 5, the perimeter of same rectangle is...
A) 660 m B) 440 m C) 250 m D) 360 m
ANS:
3. If the diagonal of a square is 14 cm. What is the area of the square (in cm2)?
A) 45 B) 29 C) 106 D) 98
ANS: 45
4. In an error of 30% excess is made in calculating the side of a square, the % error in its area is.....
A) 26% B) 75% C) 60% D) 69%
ANS: 69%
5. The diagonals of the rhombus are 10 cm and 24 cm. Its perimeter is...
A) 79 cm B) 85 cm C) 52 cm D) 36 cm
ANS: 52 cm
6. What is the radius of a circular field of area 18,634 m2?
A) 77 m B) 66 m C) 154 m D) 70 m
ANS: 77 m
7. The perimeter of a rectangular field of length 135 m and breadth 45 m is....
A) 460 m B) 360 m C) 270 m D) 540 m
ANS: 360 m
8. If the radius of a circle is increased by 9%, then the area is increased by....
A) 18.81% B) 26.63% C) 72.27% D) 54.45%
ANS: 18.81%
9. The length of a diagonal (in cm) of a rectangle of length 13 cm and breadth 7 cm is....
ANS:
10. The area of an equilateral triangle is sq.cm. Find the height of the triangle.
ANS:
11. The diagonal of square A whose perimeter is 92 is equal to the side of square B. What is the area of square B?
A) 1120 B) 2064 C) 1058 D) 1528
ANS: 1058
12. What is the area of trapezium with parallel sides having the lengths 8 and 10, the perpendicular distance between them is 12?
A) 108 sq.units B) 264 sq.units C) 240 sq.units D) 324 sq.units
ANS: 108 sq.units
13. If the diagonals of a Rhombus are in the ratio 2 : 5 and its area is 2000 cm2, what is the length of the longer diagonal?
A) 135 cm B) 240 cm C) 120 cm D) 100 cm
ANS: 100 cm
14. The perimeter of a square is 264 cm. Find its area.
A) 2025 cm2 B) 4356 cm2 C) 8791 cm2 D) 2116 cm2
ANS: 4356 cm2
15. The difference between the perimeter and side of a square is 20 cm. The area of square is.....
ANS:
16. The length of rectangular field is increased by 12% and breadth is decreased by 12%. What is the percentage increase or decrease in its area?
A) 1.44% increase B) 1.44% decrease C) No change D) 2.88% decrease
ANS: 1.44% decrease
17. The perimeter of a circle and an equilateral triangle are equal. If the area of circle is 196, the area of an equilateral triangle is...
ANS:
18. In a triangle xyz, xy = 26 cm, yz = 24 cm and ∠z = 90o, then the area of ∆xyz is....
A) 120 cm2 B) 230 cm2 C) 60 cm2 D) 240 cm2
ANS: 120 cm2
Explanations
1. Area of Right angled triangle
2. Let length and breadth of rectangle be 6x and 5x respectively.
So, Area = length × breadth
27000 = 6x × 5x
30x2 = 27000
x2 = 900 ⇒ x = 30
Perimeter = 2 (l + b) = 2 (6x + 5x)
= 2 (11x) = 22x
= 22 × 30 m = 660 m