Area Problems Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m. 7 m 12 m 8 m 13 m 7 m 12 m 8 m 13 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of to the rope = Radius of circle According to the question,?r2 = 154 ? r2 = 154 x (7/22) = 7 x 7 = 49 ? r = ?49 = 7 m
Area Problems If the sides of a squares is increased by 25%, then the area of the squares will be increased by 125% 50% 56.25% 53.75% 125% 50% 56.25% 53.75% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required increment = 2a + [a2 / 100] %= 2 x 25 + [(252)/100)] %= 50 + (625/100)% = 56.25%
Area Problems Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is 1.767 1.867 1.967 1.567 1.767 1.867 1.967 1.567 ANSWER DOWNLOAD EXAMIANS APP
Area Problems The perimeter of an equilateral triangle is 90 cm. Find its area. 225?3 sq cm 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 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 The area of circle is 38.5 sq. cm. Its circumference is? 11 cm 121 cm 6.20 cm 22 cm 11 cm 121 cm 6.20 cm 22 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? ( 22 x r2) / 7 = 38.5? r2 =(38.5 x 7) /22? r = 3.5 cm? Circumference = 2 x (22/7) x 3.5 cm= 22 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? 5(1/4) 37 13(1/2) 27 5(1/4) 37 13(1/2) 27 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.