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 15.12 sq.cm 10 sq.cm 12.62 sq.cm 13.52 sq.cm 15.12 sq.cm 10 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
Area Problems The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area? 75% decrease 25% increase 50% increase 50% decrease 75% decrease 25% increase 50% increase 50% decrease ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let original length = x and original breadth = y. Original area = xy. New length = x . 2 New breadth = 3y. New area = ❨ x x 3y ❩ = 3 xy. 2 2 ∴ Increase % = ❨ 1 xy x 1 x 100 ❩% = 50%
Area Problems The area of a circle of radius 5 is numerically what percent its circumference? 350% 450% 250% 150% 350% 450% 250% 150% ANSWER DOWNLOAD EXAMIANS APP
Area Problems A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is rs.358 rs.258 rs.58 rs.158 rs.358 rs.258 rs.58 rs.158 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP area of cross roads = (55 x 4) + (35 x 4)- (4 x 4) = 344sq m cost of graveling = 344 x (75/100) = Rs. 258
Area Problems Angles of a quadrilateral are in the ratio 3 : 4 : 5 : 8. The smallest angle is 18° 40° 54° 36° 18° 40° 54° 36° ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let First angle = 3kSecond angle = 4kThird angle = 5k and Fourth angle = 8kWe know 3k + 4k + 5k + 8k = 360°? 20k = 360° ? k = 18 °Measure of smallest angle = 3k =3 x 18 ° = 54 °
Area Problems The perimeter of two square is 12 cm and 24 cm. The area of the bigger square is how many times that of the smaller? 4 times 2 times 3 times 5 times 4 times 2 times 3 times 5 times ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of area of 2 squares = (ratio of perimeter of 2 squares)2= (24/12)2= 4
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