A rectangular field is ten times as long as it is wide. If the perimeter of the field is 2090 feet, what are the dimensions of the field?

The width of the field is 95 feet
The length of the field is 950 feet
EXPLANATION
The perimeter of a rectangle can be calculated using the formula;
p = 2l + 2w
where P is the perimeter, l is the lenngth and w is the width.
Let l be the length of the rectangular field and w to represent the width of the rectangular field.
From the given question;
l= 10w
P =2090
Substitute the values into the formula given.
2090= 2(10w) + 2w
2090 = 20w + 2w
2090 = 22w
Divide both-side of the equation by 22.
[tex]\frac{\cancel{22}w}{22}=\frac{^{95}\cancel{2090}}{^1\cancel{22}}[/tex][tex]w=95[/tex]Substitute the value of w into l=10w and evaluate.
l = 10(95)
l = 950
Hence, width is 95 feet and length = 950 feet.