Question

If the length of rectangle is reduced by 5 units and its breadth is increased by 2 units then the area of rectangle is reduced by 80 square units. However, if we increase its length by 10 unit and decrease the breadth by 5 units, its area is increased by 50 square units find the length and breadth of the rectangle.show them on graph

Answer 1

Answer:

Ans.) y = 30

x=40

Step-by-step explanation:

Let the length and breadth of the rectangle be x and y.

area of the rectangle = xy.

new length = ( x - 5 ) units.

new breadth = ( y + 2 ) units.

new area = ( x - 5 ) ( y + 2 ) sq units.

xy - ( x - 5 ) ( y + 2 ) = 80.

xy - xy - 2x + 5y + 10 = 80.

5y - 2x = 70________(1st)

new length = ( x + 10 )

breadth = ( y - 5 )

area = ( x + 10 ) ( y - 5 )

( x + 10 ) ( y - 5 ) - xy = 50.

xy - 5x + 10y - 50 - xy = 50.

10y - 5x = 100.

2y - 5 = 20_________(2nd).

=> 2( 2y - x = 20 ).

=> 4y - 2x = 40________(3rd)

(1) - (3)

Y = 30.

the value of y in (2).

2 × 30 - x = 20.

60 - x = 20.

x = 60 - 20.

X= 40