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.
A = LW
L = w + 5
36 = W(W + 5)
36 = W^2 + 5W
W^2 + 5W - 36 = 0
To write an equation representing the area of the window, we can use the formula for the area of a rectangle: Area = Length × Width.
Let's first assign a variable to the width of the window. Let's say w represents the width in feet. Since the length is 5 feet more than the width, we can express the length as w + 5.
The equation for the area can then be written as:
Area = (w + 5) × w
However, we need to make sure the equation equals zero, so we'll set the equation equal to zero by subtracting 36 square feet (the given area) from both sides:
(w + 5) × w - 36 = 0
Therefore, the equation representing the area of the window is (w + 5) × w - 36 = 0.