Area Problems If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals. 6% 9% 5% 4% 6% 9% 5% 4% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,Percentage increase in diagonals = 5%
Area Problems A park of 10 meters long and 8 meters broad. What is the length of the longest pole that can be placed in the park? 18 metres 13.4 metres 10 metres 12.8 metres 18 metres 13.4 metres 10 metres 12.8 metres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of the longest pole = ? [(10)2 + (8)2] m = ? 164 m = 12.8 m
Area Problems The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height? 13 cm 16 cm 12 cm 14 cm 13 cm 16 cm 12 cm 14 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let height =x Then, base =2x 2x * x = 338 =>x=13
Area Problems The area of a right angled triangle is 40 sq cm. If its base is equal to 28 cm. find its height. 46/7 cm 36/7 cm 26/7 cm 56/7 cm 46/7 cm 36/7 cm 26/7 cm 56/7 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, area = 40 sq cm, base = 28 cm and height = perpendicular = ?Area = (base x perpendicular) / 2 ? 40 = (28 x perpendicular) / 2 ? perpendicular = 40/14 = 20/7 = 26/7 cm
Area Problems The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Question : What is the height of a right-angled triangle ? Statements : A. The area of the triangle is 20 times its base. B. The perimeter of the triangle is equal to that of a square of the side 10 cm. Both A & B are required Neither (A) nor (B) is reuired Only statement A is required Only statement B is required Both A & B are required Neither (A) nor (B) is reuired Only statement A is required Only statement B is required ANSWER EXPLANATION DOWNLOAD EXAMIANS APP From statement (A), 20b = (1/2) × b × h h = 40 cm.
Area Problems If the radius of a circle is increased by 6%, find the percentage increase in its area. 8.39% 17% 12.36% 15% 8.39% 17% 12.36% 15% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, a = 6 According to the formula,Percentage increase in area= 2a + [a2/100]%= 2 x 6 + [36/100]%= (12 + 0.36)%= 12.36%