Question

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 is increased by 50 sq units.
Make linear equations to find the length and
breadth of the rectangle.​

Answer 1

Answer:

length=- 40cm

breadth=30cm

Step-by-step explanation:

let length be x

breadth be y

area of rectangle=xy (length * breadth)

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

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

-5y+2x=-70

5y-2x=70------------------ 1

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

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

10y-5x=100---------------------2

simplifying,

2y-x=20-------------------------3

multiplying 3) by 2

4y-2x=40---------------------4

1 in 4

5y-2x=70                   substract

4y-2x=40

y=30 -------------------5

5 in 3

2(30)-x=20

60-x=20

-x=-40

x=40

Answer:

length=- 40cm

breadth=30cm