A rectangular garden is 5m longer than it is wide.
The area of the garden is 600m2
Calculate the width and length of the garden.

The width of the garden is 22.12 m and its length is 27.12 m

Step-by-step explanation:

Equations

Let x = width of the garden

The length is 5 m longer than the wide, thus:

x + 5 = length of the garden

The area of the rectangular garden is

A=x(x+5)=600

Operating:

Solving with the quadratic formula:

Where a=1 b=5 c=-600:

Operating:

There are two solutions:

x = 22.12

x = -27.12

The negative solution is not valid because x is the width of the garden, thus

x = 22.12 m

And

y = 22.12 + 5 = 27.12 m

The width of the garden is 22.12 m and its length is 27.12 m

step-by-step explanation: