Area Problems The area of a right angled triangle is 10 sq cm. If its perpendicular is equal to 20 cm, find its base. 2 cm 4 cm 3 cm 1 cm 2 cm 4 cm 3 cm 1 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, area = 10 sq cm, perpendicular = 20 cm and base = ? area = (base x Perpendicular) / 2 ? 10 = (base x 20) / 2 ? base = 1 cm
Area Problems If the length of diagonal AC of a square ABCD is 5.2 cm then area of the square ABCD is? 12.62 sq.cm 15.12 sq.cm 13.52 sq.cm 10 sq.cm 12.62 sq.cm 15.12 sq.cm 13.52 sq.cm 10 sq.cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area = 1/2 x (Diagonal)2= (1/2) x 5.2 x 5.2 cm2= 13.52 cm2
Area Problems Of the square fields the area of the one is 1 hectare, while the another one is broader by 1% the difference is area is? 101 sq. metres 201 sq. metres 100 sq. metres 200 sq. metres 101 sq. metres 201 sq. metres 100 sq. metres 200 sq. metres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of the square field = 1 hectare = 10000 m2Side of the square = ? 10000 m = 100 mSide of another square field = 100 + 1 = 101 m? Required difference of area = [(101)2 - (100)2] m2=[(101 + 100 ) (101 - 100) ] m2= 201 m2
Area Problems The ratio of the area of the circumcircle and the incircle of a square is 1 : 2 1 : ?2 ?2 : 1 2 : 1 1 : 2 1 : ?2 ?2 : 1 2 : 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Ratio of the areas of the circumcircle and incircle of a square = [(Diagonal)2?] / [(Side)2?]= [(Side x ?2)2] / (Side)2 = 2/1 or 2 : 1
Area Problems If the sides of a rectangle are increased by 10% find the percentage increased in its diagonals. 15% 20% 18% 10% 15% 20% 18% 10% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the formula,? Percentage increase in sides = 10%? Percentage increase diagonals = 10%
Area Problems A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 75 paise per sq m is Rs. 558 Rs. 358 Rs. 458 Rs. 258 Rs. 558 Rs. 358 Rs. 458 Rs. 258 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area to be plastered = 2 l + b × h + l × b = 2 25 + 12 × 6 + 25 × 12 = 744 s q . m Cost of plastering = 744 × 75 100 = R s . 558
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