Area Problems If the area of a semi-circle be 77 sq m, find its perimeter. 48 m 54 m 42 m 36 m 48 m 54 m 42 m 36 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question, Area of semi- circle = 77 m(1/2) x ? x r2 = 77? r2 = (77 x 2 x 7)/22? r = 7m ?Circumference of semi- circle =?r + 2r= ( ? + 2)r = [(22/7) + 2] x 7 = 36 m
Area Problems The length of each side of an equilateral triangle having an area of 4?3 cm 2 is? 4/?3 cm ?3/4 cm 3 cm 4 cm 4/?3 cm ?3/4 cm 3 cm 4 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of equilateral triangle = ?3/4 a2 = 4?3.? a2 = 16? a = 4 cm
Area Problems The diagonal of the floor of a rectangular closet is 7½ feet. The shorter side of the closet is 4½ feet. What is the area of the closet in square feet? 37 13(1/2) 27 5(1/4) 37 13(1/2) 27 5(1/4) ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Other side = (15 / 2) 2 - (9 / 2) 2 ft = (225 / 4) - (81 / 4) ft = 144 / 4 ft = 6 ft Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.
Area Problems A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 75 paise per sq m is Rs. 358 Rs. 458 Rs. 258 Rs. 558 Rs. 358 Rs. 458 Rs. 258 Rs. 558 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area to be plastered = 2 l + b × h + l × b = 2 25 + 12 × 6 + 25 × 12 = 744 s q . m Cost of plastering = 744 × 75 100 = R s . 558
Area Problems The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field? 50 m 20 m 30 m 40 m 50 m 20 m 30 m 40 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = x meters. Then, Length = 115x / 100 meters Given that, X × (115X / 100) = 460 => X = 20
Area Problems The ratio of the corresponding sides of two similar triangles is 3 : 4, The ratio of their areas is? 3 : 4 4 : 3 9 : 16 ? 3: 2 3 : 4 4 : 3 9 : 16 ? 3: 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of similar triangle = Ratio of the square of corresponding sides = (3x)2 / (4x)2 = 9x2 / 16x2 = 9/16 = 9 : 16
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