- The area of a rectangle gets reduced by 9 square units if its length
- The Area of a Rectangle Gets Reduced by 9 Square Units, If Its Length is Reduced by 5 Units and Breadth is Increased by 3 Units. However, If the Length of this Rectangle Increases by 3 Units and
- Answered: The area of a rectangle gets reduced by…
Download: The area of rectangle gets reduced by 9 square units
Size: 14.10 MB
The area of a rectangle gets reduced by 9 square units if its length
Question Updated on: 13/06/2023 The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and the breadth is increased by 3 units. If we increase the length by 3 units and breadth by 2 units, the area is increased by 67 square units. Find the length and breadth of the rectangle. If the length of a rectangle is reduced by 5 units and its breadth is increased by 2 units then the area of the rectangle is reduced by 80 sq units. However, if we increase its length by 10 units and decrease the breadth by 5 units, its area increased by 50 sq units. Find the length and breadth of the rectangle. If the length of a rectangle is reduced by 5 units and its breadth is increased by 3 units, then the area of the rectangle is reduced by 9 square units. If length is reduced by 3 units and breadth is increased by 2 units, then the area of rectangle will increase by 67 square units. Then find the length and breadth of the rectangle.
The Area of a Rectangle Gets Reduced by 9 Square Units, If Its Length is Reduced by 5 Units and Breadth is Increased by 3 Units. However, If the Length of this Rectangle Increases by 3 Units and
Let the length of the rectangle be x units and the breadth of the rectangle be y units. We know that, area of a rectangle = length x breadth = xy According to the question, xy - 9 = ( x - 5 )( y + 3 ) ⇒ xy - 9 = xy + 3x - 5y - 15 ⇒ 3x - 5y = 6....(1) xy + 67 = ( x + 3 )( y + 2 ) ⇒ xy + 67 = xy + 2x + 3y + 6 ⇒ 2x + 3y = 61 ...(2) Multiply (1) by 2 and (2) by 3, we get 6x - 10y = 12...(3) 6x + 9y = 183 ...(4) Subtracting equation (4) from (3), 6x - 10y = 12 -6x + 9y = 183 - -- - 19y = - 171 y = 9 Putting y = 9 in equation (1) 3x - 5y = 6 3x - 5(9) = 6 3x = 6 + 45 x = `51/3` x = 17 Hence, the length of the rectangle is 17 units and the breadth of the rectangle is 9 units.
Answered: The area of a rectangle gets reduced by…
Transcribed Image Text: The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and the breadth is increased by 3 units. If we increase the length by 3 units and breadth by 2 units, the area is increased by 67 square units. Find the length and breadth of the rectangle. The weekly news magazine has a big story naming the Person of the Year and the editor wants the magazine to be printed as soon as possible. She has asked the printer to run an extra printing press to get the printing done more quickly, Press #1 takes 6 hours more than Press #2 to do the job and when both presses are running they can print the job in 4 hours. How long does it take for each press to print the job alone?
