Area Problems If the sides of a squares is increased by 25%, then the area of the squares will be increased by 125% 50% 53.75% 56.25% 125% 50% 53.75% 56.25% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Required increment = 2a + [a2 / 100] %= 2 x 25 + [(252)/100)] %= 50 + (625/100)% = 56.25%
Area Problems The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be: 20 cm 9 cm 41 cm 18 cm 20 cm 9 cm 41 cm 18 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √l2 + b2 = √41. Also, lb = 20. (l + b)2 = (l2 + b2) + 2lb = 41 + 40 = 81 ⟹ (l + b) = 9. ∴ Perimeter = 2(l + b) = 18 cm
Area Problems The ratios of areas of two squares, one having its diagonal double than the other is 3:1 2:1 2:3 4:1 3:1 2:1 2:3 4:1 ANSWER DOWNLOAD EXAMIANS APP
Area Problems How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material? 5 2 6 8 5 2 6 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Area of square plate = (Side)2 = (2d)2= 4d2Area of circular plate = ? (d/2)2= ?d2/4? Number of square plates = [(4d2)/4] / [(?d2)/4]= (4 x 4)/? ? 5Since, nearest integer value is 5.
Area Problems The difference between the circumference and the radius of a circle is 37 cm. The area of a circle is? 259 sq. cm 111 sq. cm 148 sq. cm 154 sq. cm 259 sq. cm 111 sq. cm 148 sq. cm 154 sq. cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? 2?r - r = 37? [(2 x 22/7) -1]r= 37? 37r / 7= 37? r = 7 So, area of the circle =(22/7) x 7 x 7 cm2= 154 cm2
Area Problems The circumference of a circle is 25 cm. Find the side of the square incribed in the circle. 29/??3 cm 23/??2 21/??3 cm 25/??2 cm 29/??3 cm 23/??2 21/??3 cm 25/??2 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Circumference of the circle = 2?r = 25? r = 25 / (2?)According to the formula,Side of inscribed square = r?2 = 25 / (2?r x ?2) = 25 / (??2 ) cm
EXAMIANS