Area - Quantitative Aptitude

Q21. Each side of an equilateral triangle is 42 cm. What is the area of the circle inscribed in it ?
(a) 332 cm²
(b) 359 cm²
(c) 423 cm²
(d) 462 cm²

Q22. The length of a rectangular plot is 4½ times that of its breadth. If the area of the plot is 200 square meter, then what is its length ?
(a) 24 m
(b) 25 m
(c) 27 m
(d) 30 m

Q23. The area of a rectangle is 12 sq meters and its length is 3 times that of its breadth. What is the perimeter of the rectangle ?
(a) 16 m
(b) 19 m
(c) 21 m
(d) 24 m

Q24. A road of uniform width runs round the inside of a rectangular field 38 m long and 32 m wide. If the road occupies 600 m², the width of the road is
(a) 4 m
(b) 5 m
(c) 6 m
(d) 8 m

Q25. The area of a triangle is x square cm. and its base is y cm. What is the height of the triangle ?
(a) ^x/_y cm
(b) ^x/_2y cm
(c) ^2x/_y cm
(d) ^2x2/_y cm

Q26. The two parallel sides of a trapezium are 2 cm and 4 cm respectively and the perpendicular distance between them is 3 cm. The area of the trapezium is
(a) 6 cm²
(b) 7 cm²
(c) 8 cm²
(d) 9 cm²

Q27. What is the area of an equilateral triangle inscribed in a circle of unit radius ?
(a) ^2√2/₃ sq unit
(b) ^3√3/₄ sq unit
(c) ^3√2/₄ sq unit
(d) ^4√3/₃ sq unit

Q28. A rectangular courtyard 3.78 m long and 5.25 m broad is to be paved exactly with square tiles, all of the same size. The minimum number of such tiles is
(a) 402
(b) 415
(c) 425
(d) 450

Q29. The perimeter of a rectangle and a square are 160 m each. The area of the recctangle is less than that of the square by 100 sq meters. The length of the rectangle is
(a) 50 m
(b) 65 m
(c) 72 m
(d) 76 m

Q30. If the ratio of the areas of two squares is 16 : 1, then the ratio of their perimeter is
(a) 2:1
(b) 3:1
(c) 4:1
(d) 5:1

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