Question
A circular wire of diameter 28 cm is folded in the shape
of a rectangle whose sides are in the ratio 6:5. Find the area enclosed by the rectangle.Solution
Using the formula, Area = lb & D = 2r and A = πr² Radius of circular wire = 28/2 = 14 cm Circumference of wire = 2πr = 2 x (22/7) x 14 = 88 cm Let the length and breadth of rectangle be 6x & 5x cm respectively. Therefore, perimeter of rectangle = 2(6x + 5x) = 22x According to the question, 22x = 88 ⇒ x = 88/22 = 4 Therefore, length of rectangle = 6x = 6 x 4 = 24 cm Breadth of rectangle = 5x = 5 x 4 = 20 cm Area = 24 x 20 = 480 cm²
A number is initially increased by 37.5% and then reduced by 40%. The final value obtained after these changes is 6,270. Determine 80% of the original n...
How many whole numbers between 100 and 750 are multiples of both 18 and 24?
The value of
What is the remainder when 7³⁵ is divided by 5?
What is the value of 1² + 3² + 5² + 7² + 9² ................ 19²?
A student was required to calculate 9/20 of a number, but by mistake he calculated 11/20 of it. His answer exceeded the correct one by 65. Find the number.
The smallest number 'Z' which when divided by 16, 24, and 48 leaves 3 as the remainder in each case. Find the value of ('4Z' + 7).
One-fourth of a number is 70. What will 40% of that number?
...Find the average of the cubes of the first 7 natural numbers.
