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 One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is? 15 m2 20 m 2 4?5 m2 12 m2 15 m2 20 m 2 4?5 m2 12 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Other side = ?5 2 - 42 = ? 9=3 mSo The area of the rectangular field = 4 x 3 = 12 m2
Area Problems A rectangle has 30 cm as its length and 720 sq cm as its area. Its area is increased to 1 1/ 4 times its original area by increasing only its length. Its new perimeter is 121 cm 119 cm 123 cm 125 cm 121 cm 119 cm 123 cm 125 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Original breadth of rectangle = 720/30 = 24 cmNow , area of rectangle = (5/4) x 720 = 900 cm2? New length of rectangle = 900/24 = 37.5 cm? New perimeter of rectangle = 2(l+ b)= 2(37.5 + 24 ) = 2 x 61.5 = 123 cm
Area Problems Find the area of the trapezium, whose parallel sides are 12 cm and 10 cm, and distance between the parallel sides is 14 cm? 186 sq.com 154 sq.com 121 sq.com 164 sq.com 186 sq.com 154 sq.com 121 sq.com 164 sq.com ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of trapezium = 1/2 x (Sum of parallel sides) x (Distance between Parallel sides) = 1/2 x (12 + 10) x 14 = 22 x 14/2 = 22 x 7 = 154 sq. cm
Area Problems Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm. 15 cm 18 cm 20 cm 14 cm 15 cm 18 cm 20 cm 14 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, a = 6 cm, b = 4 cm and c = 5 cm Required perimeter = a + b + c= 6 + 4 + 5 cm = 15 cm
Area Problems The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is 378 1078 49 154 378 1078 49 154 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
EXAMIANS