The area of the walk is 440.
<u>Step-by-step explanation:</u>
We have , a rectangular yard measures 42 ft By 72 ft Is murdered and surrounded by a fence inside a walk that is 4 feet wide goes All the way along the fence. That means we have a rectangle with dimensions of 42 ft by 72 ft and another rectangle that is concentric with dimensions less than 4 ft by previous rectangle i.e. (42-4) ft by (72-4) ft , which is 38 ft by 68 ft.
Now, we know that area of rectangle =
Area of bigger rectangle =
⇒
⇒
Similarly, Area of enclosed rectangle =
⇒
⇒
Now, the area of walk =
⇒ area of walk =
⇒ area of walk =
∴ The area of the walk is 440.