Question:
Solution:
Consider the following diagram of a rectangular garden:
the perimeter P of this rectangle is given by the following formula:
[tex]P\text{ = 2L + 2W}[/tex]
in this case, we have that P = 348 feet and W = 81 feet. Then, replacing this data into the previous equation, we get:
[tex]348\text{ = 2L + 2(81)}[/tex]
this is equivalent to:
[tex]348\text{ = 2L + }162[/tex]
solving for 2L, we get:
[tex]2L\text{ = 348 -162 = 186}[/tex]
solving for L, we get:
[tex]\text{L = }\frac{186}{2}\text{ = 93}[/tex]
so that, we can conclude that the lenght of the rectangular garden is:
[tex]L\text{ = 93 f}eet[/tex]
