Area Problems The length of a rectangular plot is twice of its width. If the length of a diagonal is 9?5 meters, the perimeter of the rectangular is? None of these 81 m 54 m 27 m None of these 81 m 54 m 27 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let breadth = y meters,Then, length = 2y meters? Diagonal = ?y2 + (2y)2 = ?5y2 metersSo, ?5y2 = 9 ?5? y= 9Thus, breadth = 9 m and length = 18 m? Perimeter = 2 (18 + 9) m = 54m.
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? 38 40 39 37 38 40 39 37 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Perimeter = 2 x (36 + 21 ) m = 144 m ? Number of flagstaffs = 144 / 3 = 38
Area Problems If D,E and F are respectively the midpoint of the sides BC , CA and AB of a ? ABC and the area of ? ABC = 36m 2. Then area of ? DEF is? 19 cm2 9 cm 2 18 cm2 12 cm 2 19 cm2 9 cm 2 18 cm2 12 cm 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of a triangle formed by joining the mid point of the sides of the triangle is 1/4th of area of the original triangle .So area of ? DEF = 36/ 4 = 9 m2
Area Problems The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? Question : What is the height of a right-angled triangle ? Statements : A. The area of the triangle is 20 times its base. B. The perimeter of the triangle is equal to that of a square of the side 10 cm. Neither (A) nor (B) is reuired Only statement B is required Only statement A is required Both A & B are required Neither (A) nor (B) is reuired Only statement B is required Only statement A is required Both A & B are required ANSWER EXPLANATION DOWNLOAD EXAMIANS APP From statement (A), 20b = (1/2) × b × h h = 40 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? 39.6 sq. meters 79.2 sq. meters 26.4 sq. meters 52.8 sq. meters 39.6 sq. meters 79.2 sq. meters 26.4 sq. meters 52.8 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 The base of right-angled triangle is 5 meters and hypotenuse is 13 meters . Its area will be? 28 m2 30m2 25m2 None of these 28 m2 30m2 25m2 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Altitude = ?(13)2 - (5)2= ?144 = 12m ? Area of the triangle = (5 x 12 ) / 2 m2= 30m2
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