Question

The perimeter of a rectangular garden is 318 meters. The width of the garden is 105 meters more than the length. Find the length and the width.

Answer 1

x = length
2x + 2(x + 105) = 318
2x + 2x + 210 = 318
4x = 108
x = 27
The length is 27 meters long, and the width is 132 meters wide.

Answer 2

The perimeter of a rectangular garden is 318 meters. The length is 2.94592 metres, width is 107.94592 metres

Step-by-step explanation:

Given the perimeter of a rectangular garden = 318 metres

Assuming length to be x metres

Width = x + 105 metres

Perimeter of a rectangular garden = Length
`*` Width

Substituting the values,

318 = x(x + 105)

`318 = x^2 + 105x`

`x^2 + 105x-318`= 0

Solving for x,

x = 2.94592, –107.94592 (negative value is neglected)

Therefore, x = 2.94592

Hence, the length of the rectangular garden is 2.94592

Width = x + 105

= 2.94592 + 105

= 107.94592 metres