Answer:
The length is 7 meters.
The width is 4 meters.
Step-by-step explanation:
The area of the rectangle is = 28 sq meter
The perimeter of the rectangle is = 28 sq meter
Now, in terms of formula these can be written as :
[tex]l\times w=28[/tex]
or [tex]l=\frac{28}{w}[/tex] ....(1)
[tex]2l+2w=22[/tex]
Dividing by 2
[tex]l+w=11[/tex] .... (2)
Now, putting (1) in (2)
[tex]\frac{28}{w}+w=11[/tex]
[tex]28+w^{2} =11w[/tex]
[tex]w^{2}-11w+28=0[/tex]
[tex]w^{2}-7w-4w+28=0[/tex]
[tex]w(w-7)-4(w-7)=0[/tex]
[tex](w-4)(w-7)=0[/tex]
This gives width as 4 , so length = 7
Or width as 7 , so length = 4
Therefore, the length is 7 meters.
The width is 4 meters.
