First we can find the perimeter of the given rectangle
P=2L+2W (L=length and W=width)
P=2*3+2*4
P=6+8
P=14
So now we want to come up with a different combination of numbers that would give up a perimeter of 14. We know that 14 is divisible by 2 so let's make out width 2. If we plug in 2 as the width and 14 as the perimeters, we can solve for length
14=2L+2*2
14=2L+4
10=2L (subtract 4 from both sides)
L=5
So the dimensions are 5 units and 2 units
Hope this helps!
Answer:
Step-by-step explanation:
add the top of one and the bottom of the other then the top of the other and the bottom of one
<h2><u>
Answer:</u></h2><h2><u>
</u>

<u>
</u></h2><h2><u>
</u></h2><h2><u>
Solution Steps:</u></h2>
______________________________
<h3>1.) Combine like terms:</h3>
<em> - We do this because we need 1 Number/Variable left over. </em>
<u>Equation at the end of Step 1:</u>
- <u />
<u />
<em />
<h3>2.) Add −17 and 31:</h3>
<em> - We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)</em>
<u>Equation at the end of Step 2:</u>
- <u />
<u />
<h3>3.) Subtract 14 from both sides:</h3>
Cancels Out
<em> - We do this because now we just need the 1 variable and the 1 number on opposite sides of the equal.</em>
<u>Equation at the end of Step 3:</u>
- <u />
<u />
<h3>4.) Multiply both sides by 2:</h3>
- <em />
<em> </em>×
<em />
- <em />
<em> </em>× 
<em> - We multiply by 2 since we have a fraction. In this case the reciprocal is 2 meaning we multiply by 2. </em>
<em></em>
______________________________
Answer:
<h3>
x = 6</h3><h3>
</h3>
Step-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = 2
b = x/2
c = √13
<u>plugin values into the formula:</u>
2² + (x/2)² = (√13)²
4² + <u>x² </u>= 13
4
16 + x² = 13 (4)
x² = 52 - 16
x = √36
x = 6