The general expression for the area of rectangle is : Length x Width
The area of a rectangle is 4320 units.,
The ratio of the width to the length is 5:6.
Let the ratio constant = x
So, Length =6x and Width = 5x
Area of rectangle of the given dimension :
[tex]\begin{gathered} \text{ Area of rectangle = Length x Width} \\ \text{ Area of rectangle = 6x}\times5x \\ \text{ Area of rectangle = }30x^2 \end{gathered}[/tex]as it is given that the area is 4320
[tex]\begin{gathered} 30x^2=4320 \\ \text{Simplify for x:} \\ x^2=\frac{4320}{30} \\ x^2=144 \\ x=\sqrt[]{144} \\ x=\pm12 \\ \text{But as measurement cannot be negative so} \\ x=12 \end{gathered}[/tex]Length = 6x
Substitute the value of x = 12
Length =6(12)
Length =72
Width = 5x
Substitute the value of x = 12
Width = 5x
Width =5(12)
Width = 60
Answer : length = 72, width = 60
