Question

2.1 and 2.2 solve linear equations homework
score: 16/24 answered: 18/24
question 19
the length of a rectangle is nine feet more than ten times the width. the perimeter is 216 feet. find the width w by solving the equation 2w + 2(10w + 9)=216.
the width is feet.

Explanation:

Step1: Expand the equation

First, expand $2(10W + 9)$ using the distributive property. $2(10W+9)=2\times10W + 2\times9=20W + 18$. So the equation becomes $2W+20W + 18=216$.

Step2: Combine like - terms

Combine the $W$ terms on the left - hand side. $2W+20W=22W$. The equation is now $22W + 18=216$.

Step3: Isolate the term with $W$

Subtract 18 from both sides of the equation. $22W+18 - 18=216 - 18$, which simplifies to $22W=198$.

Step4: Solve for $W$

Divide both sides of the equation by 22. $\frac{22W}{22}=\frac{198}{22}$, so $W = 9$.

Answer:

9