Question

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?

Answer 1

The width of the field is 95 feet

The length of the field is 950 feet

Step-by-step 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.

`\frac{\cancel{22}w}{22}=\frac{^(95)\cancel{2090}}{^1\cancel{22}}`

`w=95`

Substitute the value of w into l=10w and evaluate.

l = 10(95)

l = 950

Hence, width is 95 feet and length = 950 feet.