Area Problems The perimeter of an equilateral triangle is 90 cm. Find its area. 250?3 sq cm 151?3 sq cm 135?3 sq cm 225?3 sq cm 250?3 sq cm 151?3 sq cm 135?3 sq cm 225?3 sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, perimeter = 90 cm? 3a = 90 cm [a = side]? a = 90/3 = 30 cm? Area = ?3a2 / 4 = ?3/4 x (30)2= 900 x ?3/4 = 225?3 sq cm
Area Problems A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges? 33 24 20 30 33 24 20 30 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the side of the square(ABCD) be x metres. Then, AB + BC = 2x metres. AC = √2x = (1.41x) m. Saving on 2x metres = (0.59x) m. Saving % = ❨ 0.59x x 100 ❩% = 30%
Area Problems The ratio of the radii of two circle is 1:3 the radio of their areas is? None of these 1:9 1:3 1:6 None of these 1:9 1:3 1:6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The Radio of areas = area of first circle : area of 2nd circle= ?r2 / ?(3r)2= ?r2/ 9 ?r2= 1/9 = 1: 9
Area Problems One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is? 4?5 m2 12 m2 20 m 2 15 m2 4?5 m2 12 m2 20 m 2 15 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Other side = ?5 2 - 42 = ? 9=3 mSo The area of the rectangular field = 4 x 3 = 12 m2
Area Problems Area of a four wall of a room is 77 square meters . the length and breadth of room are 7.5 meters and 3.5 meters respectively . the height of the room is? 7.7 meters 5.4 meters 6.77 meters 3.5 meters 7.7 meters 5.4 meters 6.77 meters 3.5 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of four walls = 2 x (l + b ) x h? 2 x (7.5 + 3.5 ) x h = 77 m2? h = 77 / (2 x 11) = 7/2? h = 3.5 meters
Area Problems The Number of rounds that a wheel of diameter 7/11 m will make in going 4 km, is? 1000 1700 1500 2000 1000 1700 1500 2000 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of round = total distance / circumference of wheel.= (4 x 1000) / ?d= (4 x 1000) / ( 22/7 x 7/11) = 2000
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