Area Problems The area of an equilateral triangle is ? 243 /4 sq cm. Find the length of its side. 9 cm ?3 cm 3 cm 3?3 cm 9 cm ?3 cm 3 cm 3?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,area = ?3a2/4 = ?243 /4? a2 = ?81 x 3/?3 ? a = ?9 = 3 cm
Area Problems The radius of a circular field is 25 m. Find the area of the field. 25 ? sq m 625 ? sq m 125 ? sq m 135 ? sq m 25 ? sq m 625 ? sq m 125 ? sq m 135 ? sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = ?r2 = ? x 25 x 25 = 625? sq m.
Area Problems A circular road runs rounds a circular ground. If the difference between the circumference of the outer circle and the inner circle is 66 meters, the width of the road is? 21 meters 10.5 meters 5.25 meters 7 meters 21 meters 10.5 meters 5.25 meters 7 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let outer radius be R and inner radius be r.Then from question 2?R - 2?r = 66? 2? (R-r) = 66? (2 x 22)/7 x (R - r) = 66? (R-r) = (66 x 7) / 44= 10.5 m
Area Problems The cost of cultivating a square field at the rate of Rs. 160 per hectare is Rs. 1440. the cost of putting a fence around it at 75 paisa per meter is? Rs. 1800 Rs. 360 Rs. 900 Rs. 810 Rs. 1800 Rs. 360 Rs. 900 Rs. 810 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 1440 / 160 hectares = 9 hectares = 90000 m2? One side = ?90000 m = 300 mSo perimeter = 4 x 300 m = 1200 m ? Cost of fencing = Rs (1200 x 75) / 100= Rs. 900
Area Problems The altitude of an equilateral triangle of side 2 ? 3 cm is? 1/2 cm ? 3/4 3 cm ? 3/2 cm 1/2 cm ? 3/4 3 cm ? 3/2 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 1/2 x 2 ? x h = ?3/4 x (2 ?3)2? h = 3 cm.
Area Problems The ratio of the area of a square to that of the square drawn on its diagonal is 3:1 4:1 1:2 2;3 3:1 4:1 1:2 2;3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP atio = a 2 2 a 2