Answer :
Answer:
[tex]l = 100\,m[/tex] and [tex]w = 40\,m[/tex]
Step-by-step explanation:
The formulas for the area and perimeter of a rectangle are, respectively:
[tex]A = w\cdot l[/tex]
[tex]p = 2\cdot (w + l)[/tex]
The perimeter is equal to:
[tex]p = 2\cdot (50\,m + 90\,m)[/tex]
[tex]p = 280\,m[/tex]
Area is likewise equal to:
[tex]A = (50\,m)\cdot (90\,m)[/tex]
[tex]A = 4500\,m^{2}[/tex]
Then, equations are now described:
[tex]A = w \cdot l[/tex]
[tex]140\,m = w + l[/tex]
Likewise, the equation of area is simplified afterwards:
[tex]A = (140\,m - l)\cdot l[/tex]
[tex]A = 140\cdot l - l^{2}[/tex]
The area is reduced inasmuch as length is increased. Let assume that length is 100 meters. The length and width are described herein:
[tex]l = 100\,m[/tex] and [tex]w = 40\,m[/tex]