Area Problems A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be 5544 7744 8844 4444 5544 7744 8844 4444 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP length of wire = 2 ?r = 2 x (22/7 ) x 56 = 352 cmside of the square = 352/4 = 88cmarea of the square = 88 x 88 = 7744sq cm
Area Problems The length of a rectangle is double while its breadth is halved. What is the percentage change in area? None of these 50 75 No change None of these 50 75 No change ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let length = l and breadth = bThen, area = lb New length = 2lAnd new breadth = b/2 ? New area = ( 2l ) x (b/2) = lbSo, there is no change in area .
Area Problems The diagonals of a squares is 4?2 cm. The diagonal of another square whose area is double that of the first square is 8?2 cm 6 cm 4?2 cm 8 cm 8?2 cm 6 cm 4?2 cm 8 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Diagonal of square = ?2a [a = side]4?2 = ?2 a a = 4 cmNow, area of square = a2 = (42) = 16Side of a square whose area is 2 x 16.a12 = 32 ? a1 = ?32 ?a14?2Now, diagonal of new square = ?2a = ?2x 4 ?2 = 8 cm
Area Problems One side of a parallelogram is 14 cm. Its distance from the opposite side is 16 cm. The area of the parallelogram is? 112 sq. cm 224 sq. cm 56? sq. cm 210 sq. cm 112 sq. cm 224 sq. cm 56? sq. cm 210 sq. cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of parallelogram = Side of parallelogram x distance from the opposite side= 14 x 16 cm2= 224 cm2
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 10 cm and 8 cm 6 cm and 10 cm 8 cm and 9 cm 14 cm and 6 cm 10 cm and 8 cm 6 cm and 10 cm 8 cm and 9 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 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