Area Problems The ratio of the area of square of side a and equilateral triangle of side a is? 4 :3 4 : ?3 2 : ?3 2 :1 4 :3 4 : ?3 2 : ?3 2 :1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area = a2/ ?(3/4) a2= 4/?3 = 4:?3
Area Problems The area of a circle of radius 5 is numerically what percent its circumference? 450% 350% 250% 150% 450% 350% 250% 150% ANSWER DOWNLOAD EXAMIANS APP
Area Problems Find the area of a rectangle having 15m length and 8m breadth. 120 sq m 111 sq m 115 sq m 125 sq m 120 sq m 111 sq m 115 sq m 125 sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 15 x 8 = 120 sq m
Area Problems A circle and a square have same area. The ratio of the side of the square and the radius of the circle is? 1 : ?? ?? : 1 1 : ? ? : 1 1 : ?? ?? : 1 1 : ? ? : 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? Area of square = Area of circle ? x2 = ?r2? x/r = ?? = ? ? : 1
Area Problems If the base of a rectangular is increased by 10% and the area is unchanged , then the corresponding altitude must to be decreased by? 10% 91/11 % 111/9 % 11% 10% 91/11 % 111/9 % 11% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let base = b and altitude = h Then, Area = b x h But New base = 110b / 100 = 11b / 10Let New altitude = HThen, Decrese = (h - 10h /11 )= h / 11? Required decrease per cent = (h/11) x (1 / h ) x 100 %= 91/11 %
Area Problems The area of rectangle whose length is 5 more than twice its width is 75 sq units. What is the perimeter of the rectangle? 40 unit 24 unit 20 unit 30 unit 40 unit 24 unit 20 unit 30 unit ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the width of the rectangle = k units? Length = (2k + 5) units.According to the question,Area = k(2k + 5)? 75 = 2k2 + 5k? 2k2 + 5k - 75 = 0 ? 2k2 + 15k - 10k - 75 = 0 ? k(2k + 15) - 5(2k + 15) = 0 ? (2k + 15) (k - 5) = 0 ? k = 5 and -15/2Width cannot be negative. ? Width = 5 units? Length = 2x + 5 = 2 x 5 + 5 = 15 unit? perimeter of the rectangle = 2(15 + 5) = 40 units
EXAMIANS