Area Problems If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is? 3:1 9:1 1:3 3:4 3:1 9:1 1:3 3:4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the area of square be (9x)2 m2 and (x2) m2Then, their sides are (3x) m and x metres respectively? Ratio of their perimeters = 12x / 4x=3:1
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 Diagonals of a rhombus area 1 m and 1.5 m in lengths. The area of the rhombus is 1.5 m2 0.375 m2 1.5 m2 0.75 m2 1.5 m2 0.375 m2 1.5 m2 0.75 m2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of rhombus =(d1 x d2)/2 =(1 x 1.5)/2 m2= 0.75 m2
Area Problems What is the area of a square having perimeter 68 cm? 361 sq cm 269 sq cm 289 sq cm 284 sq cm 361 sq cm 269 sq cm 289 sq cm 284 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 area of the sector of a circle, whose radius is 12 meters and whose angle at the centre is 42, is? 52.8 sq. meters 39.6 sq. meters 26.4 sq. meters 79.2 sq. meters 52.8 sq. meters 39.6 sq. meters 26.4 sq. meters 79.2 sq. meters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the sector = [(22/7) x 12 x 12] x [42°/360°] m2 = 52.8 m2
Area Problems A rectangle has 15 cm as its length and 150 cm 2 as its area .Its area is increased to 1 1 / 3 times the original area by increasing only its length . Its new perimeter is? 50 cm 60 cm 80 cm 70 cm 50 cm 60 cm 80 cm 70 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Breadth of the rectangle = (150/15) cm= 10 cmNew area = (4/3 x 150) cm2= 200 cm2New length = 200/10 cm=20 cmNew perimeters = 2(20 + 10) cm= 60 cm
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