We are given information about a shape of a rectangular barn door with an X-shaped brace, and we are asked to find the measure of the segment QR. Let's start by recalling the properties of a rectangle.
Now, let's draw a diagram of the barn door and plot the given information on the diagram. We will also use one of the properties of a rectangle and mark that the opposite sides are parallel and congruent.
Looking at the diagram, we can see that the segments QR and PS are opposite sides, which means that they must be parallel and congruent. Since the measure of the segment PS is 7 feet, the measure of the segment QR is also 7 feet.
