Question

The perimeter of a rectangular garden is 348 feet. If the width of the garden is 81 feet. What is the length?_ft

Answer 1

Question:

Solution:

Consider the following diagram of a rectangular garden:

the perimeter P of this rectangle is given by the following formula:

`P\text{ = 2L + 2W}`

in this case, we have that P = 348 feet and W = 81 feet. Then, replacing this data into the previous equation, we get:

`348\text{ = 2L + 2(81)}`

this is equivalent to:

`348\text{ = 2L + }162`

solving for 2L, we get:

`2L\text{ = 348 -162 = 186}`

solving for L, we get:

`\text{L = }(186)/(2)\text{ = 93}`

so that, we can conclude that the lenght of the rectangular garden is:

`L\text{ = 93 f}eet`