Answer:
width = 10 cm
length = 25 cm
Step-by-step explanation:
Let original length = x
[tex]\boxed{perimeter=2(length+width)}[/tex]
[tex]70=2(x+width)[/tex]
[tex]35=x+width[/tex]
[tex]width=35-x[/tex]
[tex]\boxed{area=length\times width}[/tex]
[tex]original\ area=x(35-x)[/tex]
new length = x - 5
new width = (35-x) + 5
= 40 - x
new area = (x-5)(40-x)
new area - original area = 50
(x-5)(40-x) - x(35-x) = 50
-x²+45x-200 - (35x-x²) = 50
-x² + 45x - 200 - 35x + x² = 50
10x = 250
x = 25
Therefore, original length = 25 cm
original width = 35 - 25
= 10 cm
