Area Problems If the side of a square is increased by 25%, then how much percent does its area get increased? 50 156.25 125 56.25 50 156.25 125 56.25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let area 100 m2Then, side = 10 m New side = 125 % of 10= (125/100) x 10= 12.5 m New area = 12.5 x 12.5 m2=(12.5)2 sq. m? Increase in area = (12.5)2 - (10)2 m2= 22.5 x 2.5 m2=56.25 m2% Increase = 56.25 %
Area Problems The area of sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is? 8. 75 sq.cms 17.5 sq.cms 35 sq.cms 55 sq.cms 8. 75 sq.cms 17.5 sq.cms 35 sq.cms 55 sq.cms ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of sector = ( arc length x radius ) / 2 cm2= (3.5 x 5 ) / 2= 8.75 cm2
Area Problems One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is? 15 m2 4?5 m2 12 m2 20 m 2 15 m2 4?5 m2 12 m2 20 m 2 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 The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively. 14 cm and 6 cm 8 cm and 9 cm 10 cm and 8 cm 6 cm and 10 cm 14 cm and 6 cm 8 cm and 9 cm 10 cm and 8 cm 6 cm and 10 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the third side be x.According to the question,x + 20 = 26? x = 26 - 20 = 6 cm ? Each equal side = 20/2 = 10 cm
Area Problems The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field? (4 x 104) sq m (4 x 10) sq m (4 x 103) sq m (4 x 102) sq m (4 x 104) sq m (4 x 10) sq m (4 x 103) sq m (4 x 102) sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 100 x 40 = 4000 sq m= 4 x 103 sq m
Area Problems In a triangle ABC, BC = 5 cm AC = 12 cm and AB = 13 cm. The length of a altitude drawn from B on AC is? 4 cm 7 cm 5 cm 6 cm 4 cm 7 cm 5 cm 6 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? s= (13 + 5 + 12) / 2 cm = 15cms-a = 2 cm, s-b = 10 cm and s-c = 3 cm ? Area = ? (15 x 2 x 10 x 3 ) cm2= 30 cm2? (12 x h) / 2 = 30 ? h = 5 cm
EXAMIANS