Nya is building a garden in her yard. She has 24 feet of fencing for her garden and wants it to be in the shape of a rectangle with a length of 3 feet. What does the width need to be for this to work?

Answer 1

Let's call the width of the rectangle x. The perimeter of a rectangle is given by the formula: P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. In this case, the perimeter is 24 feet and the length is 3 feet. Therefore, we can write the equation 24 = 2(3) + 2x. Simplifying this equation gives 24 = 6 + 2x. Subtracting 6 from both sides gives 18 = 2x. Finally, dividing both sides by 2 gives x = 9 feet. Therefore, the width needs to be 9 feet for the garden to work.