Question

a rectangles length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its width, w?
2w(2w + 5) = 50
2w(w + 5) = 50
w(2w + 5) = 50
w(w + 5) = 50

Explanation:

Step1: Express the length in terms of width

Let the width of the rectangle be \( w \). The length is 5 inches more than twice its width, so the length \( l=2w + 5 \).

Step2: Use the area formula for a rectangle

The area formula for a rectangle is \( A=l\times w \). Given that \( A = 50 \), substituting \( l=2w + 5 \) into the area formula gives \( w(2w + 5)=50 \).

Answer:

\( w(2w + 5)=50 \) (the third option)