Question

2.1 and 2.2 solve linear equations homework score: 17/24 answered: 19/24 question 20 the length of a rectangle is five feet less than four times the width. the perimeter is 80 feet. find the width w by solving the equation 2w + 2(4w - 5) = 80. the width is feet.

Explanation:

Step1: Expand the equation

Expand $2(4W - 5)$ using the distributive property. $2(4W-5)=8W - 10$. So the equation becomes $2W+8W - 10=80$.

Step2: Combine like - terms

Combine the $W$ terms on the left - hand side. $2W+8W=10W$, so the equation is $10W - 10 = 80$.

Step3: Add 10 to both sides

To isolate the term with $W$, add 10 to both sides of the equation. $10W-10 + 10=80 + 10$, which simplifies to $10W=90$.

Step4: Solve for W

Divide both sides of the equation by 10. $\frac{10W}{10}=\frac{90}{10}$, so $W = 9$.

Answer:

9