The length of a rectangular window is 5 feet more than its width, w. The area of the window is 36 square feet. Write an equation to represent the area of the window. Please have your final equation equal to zero.
W^2 + 5W = 36
W^2 + 5W - 36 = 0
w (w + 5)= 36ft²
or simplify out brackets
To write an equation that represents the area of the window, you need to set up a formula using the given information.
Let's start by assigning a variable to the width. Let's call it "w". According to the problem, the length of the window is 5 feet more than its width. So we can express the length as (w + 5).
Now let's write the equation for the area of the window. The area of a rectangle is given by the formula: area = length × width.
In this case, the length is (w + 5) and the width is just w. So the equation for the area of the window is:
Area = (w + 5) × w
To have the final equation equal to zero, we can subtract 36 from both sides since the area is given as 36 square feet:
(w + 5) × w - 36 = 0
So, the equation representing the area of the window is (w + 5) × w - 36 = 0.