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 :
\(l\times w=28\)
or \(l=\frac{28}{w}\) ....(1)
\(2l+2w=22\)
Dividing by 2
\(l+w=11\) .... (2)
Now, putting (1) in (2)
\(\frac{28}{w}+w=11\)
\(28+w^{2} =11w\)
\(w^{2}-11w+28=0\)
\(w^{2}-7w-4w+28=0\)
\(w(w-7)-4(w-7)=0\)
\((w-4)(w-7)=0\)
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.
