the length of a rectangular window is 6 feet more than its width, w. the area of the window is 100 square feet. which equation could be used to find the dimensions of the window?
A = LW
100 = (W + 6) * W
To find the equation that can be used to find the dimensions of the window, we first need to understand the given information.
Given:
- The length of the rectangular window is 6 feet more than its width.
- The area of the window is 100 square feet.
Let's break down the problem step by step to find the equation that relates the length and width of the window.
Step 1: Define the variables:
Let's use 'L' to represent the length of the window and 'w' to represent the width of the window.
Step 2: Translate the first given information:
The length of the rectangular window is 6 feet more than its width can be written as:
L = w + 6
Step 3: Translate the second given information:
The area of the window is 100 square feet can be written as:
L * w = 100
Now, we have two equations:
Equation 1: L = w + 6
Equation 2: L * w = 100
So, the equation that could be used to find the dimensions of the window is:
w + 6 * w = 100 or (w + 6) * w = 100
Simplified, it can be written as:
w^2 + 6w - 100 = 0
Hence, the equation that could be used to find the dimensions of the window is w^2 + 6w - 100 = 0.