I know there must be an equation to do this, but there is a simpler way.
Just factor number 72 into two numbers which, when multiplied, equal 72. Two of such numbers are 9 and 8, and you can see that the difference between those two numbers is just 1. So that is the answer to your question - the length of the patio is 9 feet, whereas the width is 8 feet.
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Answer:

Step-by-step explanation:
The y-intercept is where x is 0 (0,y)
The x-intercept is where y is 0 (x,0)
Insert 0 as the value for x to find the corresponding y value:

Simplify multiplication:

Isolate the variable. Divide both sides by 4:

Make the variable positive. Multiply both sides by -1:

The y-intercept is at
.
Insert 0 as the value for y to determine the value of x:

Simplify multiplication:

Isolate x. Divide both sides by 5:

Multiply both sides by -1:

The x-intercept is at
.
:Done
Answer:
x = 50
Step-by-step explanation:
SU is a midline segment and is one half the measure of VW, thus
VW = 2SU , that is
x - 46 = 2(x - 48) ← distribute
x - 46 = 2x - 96 ( subtract x from both sides )
- 46 = x - 96 ( add 96 to both sides )
50 = x