In a rectangle , if the length is increased in 3 m and breadth is decreased by 4 m the area of the rectangle is reduced by 67 sq.m . if the length is reduced in 1 m and breadth is increased by 4 m and area is increased by 89 sq.m . find length and breadth
Answers
Step-by-step explanation:
The length of the rectangle is 28 m.
The breadth of the rectangle is 19 m.
Step-by-step explanation:
Given : In a rectangle if the length is increased by 3 meter and the breadth is decreased by 4 the area is reduced by 67m sq . If lenght is reduced by 1m and breadth is increased by 4m the area is increased by 89m sq.
To find : The dimensions of the rectangle?
Solution :
Let x be the length of the rectangle.
Let y be the breadth of the rectangle.
Area of the rectangle is A=xyA=xy
In a rectangle if the length is increased by 3 meter and the breadth is decreased by 4 the area is reduced by 67 m sq .
The equation form is xy-(x+3)(y-4)=67xy−(x+3)(y−4)=67 ....(1)
If length is reduced by 1m and breadth is increased by 4m the area is increased by 89m sq.
The equation form is (x-1)(y+4)-xy=89(x−1)(y+4)−xy=89 ....(2)
Solving equation (1) and (2) graphically.
We plot the equations and the intersection point is the solution of the graph.
The intersection point is (28,19).
Refer the attached figure below.
The length of the rectangle is 28 m.
The breadth of the rectangle is 19 m.
Answer:
