Area Problems In a rhombus, whose area is 144 sq.cmone of its diagonal is twice as long as the other, The lengths of its diagonals are? 12 cm, 24 cm 24 cm, 48 cm 6 cm, 12 cm 6 ?2 cm, 12?2 cm 12 cm, 24 cm 24 cm, 48 cm 6 cm, 12 cm 6 ?2 cm, 12?2 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of rhombus = (d1 x d2) / 2? (d x 2d ) / 2 = 144? d2 = 144? d = 12 ? Length of diagonal = 12 cm, 24 cm
Area Problems The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is 154 49 378 1078 154 49 378 1078 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The diameter is equal to the shortest side of the rectangle. So radius= 14/2 = 7cm. Therefore, area of circle = (r)2 = (22/7) x 49 = 154 cm2
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 A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6: 5 . The smaller side of the rectangle is? 72 cm 132 cm 30 cm 60 cm 72 cm 132 cm 30 cm 60 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Perimeter of rectangle = Circumference of circle = 2?r=2 x ( 22/7 ) x 42= 264 cm Now perimeter of rectangle = 2 x ( 6a + 5a )? 2 x (6a + 5a) = 264? a = 12Smaller side of rectangle = 5a = 60 cm
Area Problems What is the area of a square having perimeter 68 cm? 289 sq cm 269 sq cm 284 sq cm 361 sq cm 289 sq cm 269 sq cm 284 sq cm 361 sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,4a = 68 [ where a = side]?a = 68/4 = 17 cm? Required area = a2= (17)2 = 289 sq 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 10) sq m (4 x 102) sq m (4 x 103) sq m (4 x 104) sq m (4 x 10) sq m (4 x 102) sq m (4 x 103) sq m (4 x 104) sq m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required area = Length x Breadth= 100 x 40 = 4000 sq m= 4 x 103 sq m