Answer:

since opposite sides are equal

3x-y=2x+y

x=2y                                                      

y=x/2                                                                      ....(i)

thus new length=2x+y

=2x+(x/2)                                                              [using (i)]

=(4x+x)/2

l=5x/2                                                                   .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm            

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14                                                                 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7                                                                  ...........(iv)

From figure,

length=2x+y                                                   [using (iii) and (iv)]

=2x14+7

length=35cm

breadth=2x-3

=2x14-3                                                          ....[using(iii)]

=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2

Answer:

area is 875 cm^2

Step-by-step explanation:

1st area of rectangle=l*b..,(i=length n b=breadth)

and perimeter of rectangle=sum of all sides..,

property of rectangle is that the opp. sides r always equal in length., and all angles will be 90 degrees..,

hence..,(3x-y)=(2x+y)

=>x=2y

and given that..,

120=2*(2*2y-3)+2(2*2y+y)

i.e 120=8y-6+8y+2y

i.e 126=18y

=> y=7 and x=14...

therefore area of rectangle=l*b

i.e a=35*25

=> a=875 cm^2