Area Problems if the side of a square be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is? 14cm 13 cm 12 cm None of these 14cm 13 cm 12 cm None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let each side = x cmThen, (x + 4 )2 - x2 = 60? x 2 + 8x + 16 - x2 = 60? x = 5.5 cm
Area Problems In ? ABC ,sides BC = 10 cm and height AD = 4.4 cm. If AC = 11 cm. Then altitude BE equals? 5.6 cm 5 cm 4 cm 5.5 cm 5.6 cm 5 cm 4 cm 5.5 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We know that area of triangle = ( base x height ) / 2So area of triangle = (BC x AD) / 2 = (AC x BE) / 2 ? (10 x 4.4) / 2 = (11 x h) / 2? h= (10 x 4.4)/11 = 4 cm
Area Problems The diagonals of two squares are in the ratio of 3 : 2. Find the ratio of their areas. 9 : 7 9 : 5 9 : 4 9 : 2 9 : 7 9 : 5 9 : 4 9 : 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the diagonals of the squares be 3x and 2x.? Ratio of their areas = [(1/2) (3x2)] / [(1/2) (2x2)] = 9/4
Area Problems Area of a four walls a room is 168 Sq. meters . The breadth and height of a room are 8 meters and 6 meters respectively . The length of the room is? 12 meters 3.5 meters 14 meters 6 meters 12 meters 3.5 meters 14 meters 6 meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of a four walls = 2(l + 8) x 6 = 168m2? (l + 8) = 14? l = 14-8= 6 meters
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? 3 times 2 times 4 times 5 times 3 times 2 times 4 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
Area Problems If the diagonal of a square is double, how does the area of the square change? Becomes two fold Becomes four fold Becomes three fold None of these Becomes two fold Becomes four fold Becomes three fold None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of the areas = area of original square / area of new square = [ d2 / 2 ] / [ (2d)2 / 2 ] = 1/4? New area becomes 4 fold.
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