Question

if thelength of a rectangle is decreased by 2 metres and the breadth is increased by 2 the area would increase a square if the length is increased by 3 and breadth is decreased by 1 metre the area would decrease by 27 square metre what are the length and breadth ?​

Answer 1

Answer:

Step-by-step explanation:

Let the length be x

& the breadth be y

Area= LxB

=(x)(y)

= xy

Condition when the length decrease and breath increase. Area increase 8 square metres

Length= x-2

Breadth= y+2

Area=(x-2)(y+2)

xy+2x-2y-4 = xy+8

xy-xy+2x-2y-4-8 = 0

2x-2y-12=0 (i) equation

condition when the length and breadth decrease. Area decrease by 27 square metres

Length= x-3

Breadth= y-1

Area= (x-3)(y-1)

xy-x-3y+3 = xy-27

xy-xy-x-3y+3+27=0

-x-3y+30=0 (ii) equation

Using Elimination Method

2x-2y-12=0 (i) equation

-x-3y+30=0 (ii) equation

multiplying first equation with -1 and second equation with 2

2x-2y-12=0}x-1

-x-3y+30=0}x2

-2x+2y+12=0 (iii) equation

-2x-6y+60=0 (iv) equation