Given:
Length = Width + 4
Area = 60 square meters
Use the area of a rectangle:
Area = Length x Width
As an equation, we have:
60 = (W + 4)(W)
[tex]60=W^2+4W[/tex]
As a visual, we have:
To solve the equation, we have:
[tex]\begin{gathered} 60=W^2+4W \\ \\ W^2+4W-60=0 \\ \\ W^2+10W-6W-60=0 \\ \\ W(W+10)-6(W+10)=0 \\ \\ W=-10\text{ and W =6} \\ \end{gathered}[/tex]
Since the width can't be a negative value, let's take the positive value.
Width = 6 meters
Since the length is 4 meters longer than the width, we have:
Length = 6 + 4 = 10 meters
ANSWER:
The dimensions of the rectangular be are:
Length = 10 meters
Width = 6 meters
