The width of a rectangular window is 2 feet more than its height. If the area is 35 square feet, what is the height?

The answer is 5 feet. Let's begin by assigning variables to the height and width of the rectangular window. Let h represent the height and w represent the width. From the first sentence, we know that: w = h + 2 We are also given that the area of the window is 35 square feet: A = wh = 35 Substituting w = h + 2 into the second equation, we get: A = h(h+2) = 35 Expanding the equation and rearranging, we get a \quadratic equation in standard form: h^2 + 2h - 35 = 0 We can solve for h by factoring or using the \quadratic formula. Factoring: (h+7)(h-5) = 0 Setting each factor equal to zero and solving for h, we get: h = -7 or h = 5 We can discard the negative solution since height cannot be negative. Therefore, the height of the rectangular window is 5 feet.