Area Problems A triangle with three equal sides has its area equal to 3?3 sq cm . Find its perimeter . 2?3 cm 5?3 cm 6?3 cm 7?3 cm 2?3 cm 5?3 cm 6?3 cm 7?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,?3a2/4 = 3?3 [ side = a, and area = ?3a2/4] ? a2/4 = 3 ? a2 = 3 x 4 ? a = 2?3? Required perimeter = 3a =3 x 2?3 = 6?3 cm
Area Problems The area of sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm is? 55 sq.cms 35 sq.cms 8. 75 sq.cms 17.5 sq.cms 55 sq.cms 35 sq.cms 8. 75 sq.cms 17.5 sq.cms ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of sector = ( arc length x radius ) / 2 cm2= (3.5 x 5 ) / 2= 8.75 cm2
Area Problems The length of a rectangle is double while its breadth is halved. What is the percentage change in area? No change 50 None of these 75 No change 50 None of these 75 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 How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material? 8 6 2 5 8 6 2 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of square plate = (Side)2 = (2d)2= 4d2Area of circular plate = ? (d/2)2= ?d2/4? Number of square plates = [(4d2)/4] / [(?d2)/4]= (4 x 4)/? ? 5Since, nearest integer value is 5.
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. 6 cm and 10 cm 14 cm and 6 cm 8 cm and 9 cm 10 cm and 8 cm 6 cm and 10 cm 14 cm and 6 cm 8 cm and 9 cm 10 cm and 8 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 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 7744 4444 8844 5544 7744 4444 8844 5544 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
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