the town mayor plans to build a pathway for the rectangular plaza whose length is 20 m longer than the width. If the pathway is 20 m shorter than twice the width. what is the length of the pathway
w+20 = 2w-20
40
Let's assign a variable to represent the width of the rectangular plaza. Let's call it "w".
According to the given information, the length of the rectangular plaza is 20 meters longer than the width. So, the length would be "w + 20".
The pathway is stated to be 20 meters shorter than twice the width. So, the pathway length would be "2w - 20".
Therefore, the length of the pathway is 2w - 20.
To find the length of the pathway, we first need to determine the dimensions of the rectangular plaza.
Let's assume that the width of the rectangular plaza is represented by "W".
According to the given information, the length of the plaza is 20 meters longer than the width, which can be represented as:
Length = Width + 20
Furthermore, the pathway is 20 meters shorter than twice the width, which can be represented as:
Pathway Length = 2W - 20
Now, let's substitute the given relationships into the equation for pathway length:
Pathway Length = 2(W) - 20
Simplifying the equation, we get:
Pathway Length = 2W - 20
So, the length of the pathway is given by the equation Pathway Length = 2W - 20, where "W" represents the width of the rectangular plaza.