5. The length of a rectangular flower garden is 5 feet more than its width. The area of the garden is 104 square feet. a) Draw a diagram to represent the length of sides of the rectangle.

Imagine a beautiful rectangle, with the width represented as a smaller side. Let’s say the width is "w" feet. Now, the length is like a tall flower reaching for the sun, which is 5 feet longer than the width—so it’s "w + 5" feet. The area of this lovely garden, which is the entire space where flowers bloom, is given as 104 square feet. You can sketch this by drawing a rectangle and labeling the shorter side as "w" and the longer side as "w + 5." Voilà, now you have a visual garden plan! To solve for the dimensions, remember that the area of a rectangle is length times width. So you'll set up the equation: \( w \times (w + 5) = 104 \). Now your flower garden is waiting to show off the perfect width and length!