If the length of certain rectangle is decreased by 4 cm and breadth is increased by 2 c, it would result in a square of the same area. What is the perimeter of the original rectangle?
Let length be L and breadth be B, Since the sides of the square are equal, ⇒ L − 4 = B + 2 ...........(1) ⇒ L = B + 6 The area of the rectangle is equal to the area of the square, L × B = (L - 4)(B + 2) ⇒ (B + 6)(B) = (B + 6 - 4)(B + 2) ⇒ B2 + 6B = (B + 2)2 ⇒ B2 + 6B = B2 + 4B + 4 ⇒ 6B = 4B + 4 ⇒ 2B = 4 ⇒ B = 2 cm then form (1) we get, ⇒ L - 4 = B + 2 ⇒ L - 4 = 2 + 2 ⇒ L = 4 + 4 = 8 cm Now the Perimeter of the rectangle, ⇒ P = 2(8 + 2) ⇒ P = 2(10) = 20 cm ∴ The perimeter of the original rectangle is 20 cm.
If the 9th step of an Input is ‘work in regard to making the district free’ which of the following would be Step IV?
What will be the 14th step for the following input?
Input: the rule changes will come into effect for
...Which element is between “depths” and “vitae” in step IV?
How many numbers are there in between “alliance” and “important” in step III?
Which element is third to the left of second element from the right end in step IV?
Input for Qs. 6 - 10: 28 33 92 35 73 46 84 11
In ste...
How many elements are there between ‘tall’ and ‘75’ in the second last step?
Which step would be the following output?
Tall 50 person 42 hope 32 equal 26 centre 22 75 wave
Which of the following would be the last step of the rearrangement?
How many elements are there between ‘03’ and ‘45’ in step-II?
