SOLUTION: The perimeter of Wyoming is 1280 miles. The width is 90 miles less then the lenght. Find the width and the length. and the other question is 3(t-2)>or equal to 9(t+2)

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Question 242417: The perimeter of Wyoming is 1280 miles. The width is 90 miles less then the lenght. Find the width and the length.
and the other question is
3(t-2)>or equal to 9(t+2)

Answer by College Student(505) (Show Source):
You can put this solution on YOUR website!
The perimeter equals to the sum of two widths and two lengths. The generic formula would be:
Let p=perimeter, w=width, and l=length.
Since p=1280, and w=l-90, we can say:

Let's solve for l...

<--- one lenght measures 365 miles
.
Let's find the width:

<--- one width measures 275 miles
.
Let's check our answers by plugging them in the original equation.
Remember:

.
Done with the first problem!
.
Second problem:
First, we need to distribute (multiply) 3 and 9 by the contents in the parenthesis. Then we will solve for t.
.

Now we need to divide by -6 on both sides of the inequality. Remember that when we multiply or divide a negative number in an inequality, the symbol changes direction. Notice the change below:

.
Done with the second problem!