Question

drake is going to lay grass in a backyard with an area of 440 ft². if the length of the yard is 25 ft, then what is the width of the yard? a. 17.6 ft b. 176 ft c. 15.7 ft

Explanation:

Step1: Recall the area formula for a rectangle

The area \( A \) of a rectangle is given by \( A = length \times width \), or \( A = l \times w \). We know the area \( A = 440 \, \text{ft}^2 \) and the length \( l = 25 \, \text{ft} \), and we need to find the width \( w \). So we can rearrange the formula to solve for \( w \): \( w=\frac{A}{l} \).

Step2: Substitute the known values into the formula

Substitute \( A = 440 \) and \( l = 25 \) into the formula \( w=\frac{A}{l} \). So we have \( w = \frac{440}{25} \).

Step3: Perform the division

Calculate \( \frac{440}{25} \). We can do this by dividing 440 by 25. \( 440\div25 = 17.6 \).

Answer:

a. 17.6 ft