The perimeter of a rectangle is 30 inches. If its length is three times its width, find the dimensions. 30 inches=2(L+W) Divide each side by 2. 15 inches=L+W Substitute for L.
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To find the value of x let's make the situation a bit easier
3x+10+70=180
3x+80=180
3x=180-80
3x=100
x = about 33.33
We first need to factorize (if possible) the denominators:
we can see that

as 2 and 5 are two numbers whose sum is 7 and product is 10.
Similarly, we can see that

as 2 and 3 are two numbers whose sum is 5 and product is 6.
Thus, the expression is:

.
Now to make the denominators equal, but to also keep them as small as possible, the common denominator must be (p+3)(p+2)(p+5).
Answer: (p+3)(p+2)(p+5).