Question

The length of a soccer field is 37 meters more than its width. The perimeter is 348 meters. Find the length of the field.

Answer 1

`Length = 105.5\ m`

Explanation:

Given

`Perimeter = 348`

`Length = 37 + Width`

Required

Find the width

`Length = 37 + Width`

Make Width the subject

`Width = Length - 37`

The perimeter of a rectangular field is

`Perimeter = 2 * (Length + Width)`

Substitute Length - 37 for Width

`Perimeter = 2 * (Length + Length - 37)`

`Perimeter = 2 * (2Length - 37)`

Open Bracket

`Perimeter = 4Length - 74`

Substitute 348 for Perimeter

`348 = 4Length - 74`

Solve for Length

`4Length = 348 + 74`

`4Length = 422`

Divide through by 4

`Length = 422/4`

`Length = 105.5`