Answer:
[tex]Length=27feet\\Width=23feet[/tex]
Area=[tex]621feet^2[/tex]
Step-by-step explanation:
Perimeter of the rectangle= 100 feet
Let, the width of the rectangle be 'w'
Length=w+4
Perimeter=2(Length+width)
[tex]100= 2(w+4+w)\\\\100=2(2w+4)\\\\100/2=2w+4\\\\50=2w+4\\\\2w+50-4\\\\2w=46\\\\w=23 feet\\\\Width=23 feet[/tex]
Length=w+4=23+4=27 feet
[tex]Length=27feet\\Width=23feet[/tex]
Area of a rectangle = Length*Width
[tex]=27*23\\\\=621Feet^2[/tex]
Area=[tex]621feet^2[/tex]