Area Problems The perimeter of an equilateral triangle is 90 cm. Find its area. 151?3 sq cm 135?3 sq cm 250?3 sq cm 225?3 sq cm 151?3 sq cm 135?3 sq cm 250?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 What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad? 840 844 814 820 840 844 814 820 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm. Area of each tile = (41 x 41) cm2. ∴ Required number of tiles = ❨ 1517 x 902 ❩ = 814
Area Problems Four horses are be tethered at four concern of a square plot of side 63 meters, so that they just cannot reach one another. The area left ungrazed is? 780.6 m2 785.8 m2 850.5 m2 675.5 m2 780.6 m2 785.8 m2 850.5 m2 675.5 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area left ungrazed = [(63 x 63) - (4 x 1/4 x 22/7 x (63/2)2] m2= (63 x 63 - (99 x 63)/2 ) m2= 63 x (63 - 99/2) m2= 850.5 m2
Area Problems The diameter of the driving wheel of a bus is 140 cm. How many revolution, per minute must the wheel make in order to keep a speed of 66 kmph ? 250 550 350 150 250 550 350 150 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference = No.of revolutions * Distance covered Distance to be covered in 1 min. = (66 X1000)/60 m = 1100 m.Circumference of the wheel = 2 x (22/7) x 0.70 m = 4.4 m.Number of revolutions per min. =(1100/4.4) = 250.
Area Problems The area of a circle of radius 5 is numerically what percent its circumference? 150% 350% 250% 450% 150% 350% 250% 450% ANSWER DOWNLOAD EXAMIANS APP
Area Problems If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is? 13.52 sq.cm 10 sq.cm 15.12 sq.cm 12.62 sq.cm 13.52 sq.cm 10 sq.cm 15.12 sq.cm 12.62 sq.cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 1/2 x (Diagonal)2= (1/2) x 5.2 x 5.2 cm2= 13.52 cm2