Area Problems A park of 10 meters long and 8 meters broad. What is the length of the longest pole that can be placed in the park? 13.4 metres 18 metres 12.8 metres 10 metres 13.4 metres 18 metres 12.8 metres 10 metres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Length of the longest pole = ? [(10)2 + (8)2] m = ? 164 m = 12.8 m
Area Problems A triangle with three equal sides has its area equal to 3?3 sq cm . Find its perimeter . 2?3 cm 7?3 cm 5?3 cm 6?3 cm 2?3 cm 7?3 cm 5?3 cm 6?3 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question,?3a2/4 = 3?3 [ side = a, and area = ?3a2/4] ? a2/4 = 3 ? a2 = 3 x 4 ? a = 2?3? Required perimeter = 3a =3 x 2?3 = 6?3 cm
Area Problems If the area of a semi-circle be 77 sq m, find its perimeter. 42 m 48 m 36 m 54 m 42 m 48 m 36 m 54 m ANSWER EXPLANATION DOWNLOAD EXAMIANS APP According to the question, Area of semi- circle = 77 m(1/2) x ? x r2 = 77? r2 = (77 x 2 x 7)/22? r = 7m ?Circumference of semi- circle =?r + 2r= ( ? + 2)r = [(22/7) + 2] x 7 = 36 m
Area Problems If 88 m wire is required to fence a circular plot of land, then the area of the plot is? 526 m2 616 m2 556 m2 None of these 526 m2 616 m2 556 m2 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of circular plot= 88 m? 2 x (22/7) x r = 88? r = 88 x (7/22) x (1/2) = 14 m Now area = ?r2=( 22/7) x 14 x 14 m2= 616 m2
Area Problems If the radius of a circle is increased by 6%, find the percentage increase in its area. 17% 12.36% 15% 8.39% 17% 12.36% 15% 8.39% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given that, a = 6 According to the formula,Percentage increase in area= 2a + [a2/100]%= 2 x 6 + [36/100]%= (12 + 0.36)%= 12.36%
Area Problems If the sides of a squares is increased by 25%, then the area of the squares will be increased by 53.75% 50% 56.25% 125% 53.75% 50% 56.25% 125% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required increment = 2a + [a2 / 100] %= 2 x 25 + [(252)/100)] %= 50 + (625/100)% = 56.25%
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