Answer:
Length = 20 feet
Width = 16 feet
Step-by-step explanation:
Given information:
- The perimeter of a rectangle is 72 meters.
- The width of the rectangle is 4 meters less than its length.
Define the variables:
- Width = x meters
- Length = (x + 4) meters
Substitute the defined variables and given perimeter into the formula for the perimeter of a rectangle.
[tex]\begin{aligned}\textsf{Perimeter of a rectangle}&=2(\sf width+length)\\\\\implies 72&=2(x+(x+4))\\72&=2(2x+4)\\72&=4x+8\\64&=4x\\x&=16\end{aligned}[/tex]
Therefore the dimensions of the rectangle are:
- Length = 16 + 4 = 20 feet
- Width = 16 feet
