<h3 /><h3>
</h3>
Equation for Perimeter of a rectangle: Perimeter = 2W + 2L
<h3>Defining the variables, let</h3>
<h3>Width = x</h3><h3>Length = 2x+3 (3 more than twice the width)</h3>
<h3>Plugging everything into the equation</h3>
<h3>30= 2(x) + 2(2x+3) using the distributive property,</h3>
<h3>30=2x+4x+6 combining like terms</h3>
<h3>30=6x+6 subtracting 6 from both sides,</h3>
<h3>24=6x divide both sides by 6</h3>
<h3>4=x This means that the width is 4 m.</h3>
<h3>To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for</h3>
<h3>L=2(4)+3</h3>
<h3>L=8+3 = 11 m</h3>
<h3>So the dimensions of the rectangle are width is 4 m and length is 11 m.</h3>
Answer:
169
Step-by-step explanation:
13x13=169 in a square all sides are equal
Answer: 5(5 + 2)
Step-by-step explanation: We will be using the distributive property to write a numerical expression that is equivalent to 25 + 10.
The expression 5(5 + 2) is an expression that uses the distributive property and is equivalent to 25 + 10.
5(5 + 2) is equivalent to 25 + 10 because all your doing when using the distributive property is multiply the number outside the parentheses by the numbers inside the parentheses. 5 x 5 = 25 and 5 x 2 = 10, which means 5(5 + 2) equals 25 + 10.
Given parameters:
y varies directly as w;
This interpreted implies that as y increases, we increases by a certain factor or amount;
So, y ∝ w
y = kw
where k is the constant of proportionality
Now, given that y = 8 and w = 2
Input in the equation to solve for k;
8 = k x 2
Solving k gives, k = 4
Now to the second part,
if v is directly proportional to w;
v = k w
So v = 4w
The equation that relates v to w is v = 4w
(I crossed simplify)
Next cross multiply;
3b = 1
b = 1/3
To check if the statement is true just substitute the value of b in the equation;
3b = 1
3(1/3) = 1
1 = 1
