Question

1.7 hwk: solving equations by multiplication and division score: 9/11 answered: 9/11 question 10 the area of a rectangle is 176 ft². find the width of the rectangle, if its length is 16 ft. 16 ft 176 ft² width

Explanation:

Step1: Recall the area formula for a rectangle

The area \( A \) of a rectangle is given by the formula \( A = l \times w \), where \( l \) is the length and \( w \) is the width.

Step2: Substitute the known values into the formula

We know that \( A = 176 \, \text{ft}^2 \) and \( l = 16 \, \text{ft} \). Substituting these values into the formula, we get \( 176 = 16 \times w \).

Step3: Solve for \( w \)

To find \( w \), we divide both sides of the equation by 16. So, \( w=\frac{176}{16} \).
Calculating \( \frac{176}{16} \), we get \( w = 11 \).

Answer:

The width of the rectangle is \( 11 \, \text{ft} \).