Area Problems The side of a square is 5 cm which is 13 cm less than the diameter of a circle. What is the approximate area of the circle? 265 sq cm 255 sq cm 245 sq cm 235 sq cm 265 sq cm 255 sq cm 245 sq cm 235 sq cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Diameter of the circle = 13 + 5 = 18 cm? Radius = Diameter/2 =18/2 = 9 cm Area of the circle = ?r2 = (22/7) x 92 = (22 x 81)/9 = 1782/7 = 254.57 sq cm= 255 sq cm
Area Problems A rectangular carpet has an area of 120 sq. m and a perimeter of 46 m . The length of its diagonal is? 15 m 17 m 20 m 16 m 15 m 17 m 20 m 16 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let length = a metres and breadth = b metres Then, 2(a+b)= 46 ? (a+b) =23 and ab =120 ? Diagonal = ?a2 + b2?(23)2-2 x 120?289 = 17 m
Area Problems What is the area of a square having perimeter 68 cm? 289 sq cm 361 sq cm 284 sq cm 269 sq cm 289 sq cm 361 sq cm 284 sq cm 269 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 length and breadth of a playground are 36 m and 21 m respectively. Flagstaffs are required to be fixed on all along the boundary at a distance of 3 m apart. The number of flagstaffs will be? 37 38 40 39 37 38 40 39 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Perimeter = 2 x (36 + 21 ) m = 144 m ? Number of flagstaffs = 144 / 3 = 38
Area Problems If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle. 130 140 120 110 130 140 120 110 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP let length = x and breadth = y then 2(x+y) = 46 => x+y = 23 x²+y² = 17² = 289 now (x+y)² = 23² => x²+y²+2xy= 529 => 289+ 2xy = 529 => xy = 120 area = xy = 120 sq.cm
Area Problems The ratio of the area of a square to that of the square drawn on its diagonal is 2;3 4:1 1:2 3:1 2;3 4:1 1:2 3:1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP atio = a 2 2 a 2
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