Area Problems if the side of a square be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is? 14cm 13 cm None of these 12 cm 14cm 13 cm None of these 12 cm ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let each side = x cmThen, (x + 4 )2 - x2 = 60? x 2 + 8x + 16 - x2 = 60? x = 5.5 cm
Area Problems The diagonal of the floor of a rectangular closet is 7½ feet. The shorter side of the closet is 4½ feet. What is the area of the closet in square feet? 27 37 5(1/4) 13(1/2) 27 37 5(1/4) 13(1/2) ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Other side = (15 / 2) 2 - (9 / 2) 2 ft = (225 / 4) - (81 / 4) ft = 144 / 4 ft = 6 ft Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.
Area Problems The radius of a circle has been reduced from 9 cm to 7 cm . the appropriate percentage decrease in area is? 31.5 % 65.5 % 34.5 % 39.5 % 31.5 % 65.5 % 34.5 % 39.5 % ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Original area = (22/7) x 9 x 9 cm2New area = (22/7) x 7 x 7 cm2? Decrease = 22/7 x [(9)2 -(7)2] cm2=(22/7) x 16 x 2 cm2Decrease percent = [(22/7 x 16 x 2) /( 7/22 x 9 x 9)] x 100 %= 39.5 %
Area Problems The Number of rounds that a wheel of diameter 7/11 m will make in going 4 km, is? 1500 1000 2000 1700 1500 1000 2000 1700 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of round = total distance / circumference of wheel.= (4 x 1000) / ?d= (4 x 1000) / ( 22/7 x 7/11) = 2000
Area Problems Three circles of radius 3.5cm are placed in such a way that each circle touches the other two. The area of the portion enclosed by the circles is 1.867 1.567 1.767 1.967 1.867 1.567 1.767 1.967 ANSWER DOWNLOAD EXAMIANS APP
Area Problems The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is 1078 378 49 154 1078 378 49 154 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The diameter is equal to the shortest side of the rectangle. So radius= 14/2 = 7cm. Therefore, area of circle = (r)2 = (22/7) x 49 = 154 cm2