Question

if the length of a rectangle is reduced by 5 units and its breadth is increased by 3 units in the area of the rectangle is reduced by 8 square units if the length is reduced by three units and the breadth is increased by 2 units then the area of the rectangle is increased by 67 units find the length and the breadth of the rectangle​

Answer 1

Answer:

Step-by-step explanation:

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

Area of rectangle = xy sq.units

ATQ

Case 1

length is reduced by 5 units

So l=x-5 units

Breadth is increased is by 3 units

So b=y+3 units

Area=xy-8

(x-5)(y+3)=xy-8

xy+3x-5y-15=xy-8

3x-5y=7.....0

2(3x-5y)=7×2

6x-10y=14......1

Case 2

Length is reduced by 3 units

l=x-3

Breadth is increased by 2 units

b=y+2

Area=xy+67

(x-3)(y+2)=xy+67

xy+2x-3y-6=xy+67

2x-3y=73

3(2x-3y)=73×3

6x-9y=219......2

Eq 2-1

y=205units

From 0

3x-5y=7

3x-5×205=7

3x=7+1025

3x=1032

x=344 units