The length of a rectangular garden is two feet less than five times the width. If the perimeter is 72 feet, what is the length of the garden?
A county club offers two different membership plans. Members who choose Plan A pay a $60 initial fee and $22.50 a month. Plan B you pay a $15 initial fee and $45 a month. Write an equation for each plan. Define your variables and label yoour plans. At how many months will the plans cost the same amount? Sketch a graph that shows where the plans cost the same.
To find the length of the garden, we can set up an equation based on the given information.
Let's assume the width of the rectangular garden is "x" feet.
According to the problem, the length of the garden is two feet less than five times the width, which means the length is (5x - 2) feet.
The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
From the problem, we know that the perimeter is 72 feet. So, we can substitute the given values into the formula and solve for x:
72 = 2((5x - 2) + x)
Now we can simplify the equation:
72 = 2(6x - 2)
72 = 12x - 4
76 = 12x
x = 76/12
x = 6.33
Since the width should be a whole number, we need to round down to the nearest whole number. Therefore, the width is 6 feet.
Now, we can find the length using the equation we previously determined:
Length = 5x - 2
Length = 5(6) - 2
Length = 30 - 2
Length = 28 feet
So, the length of the garden is 28 feet.