Question

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 find the area of the walk Be sure to include the correct unit in the answer

Answer 1

The area of the walk is 440
`ft^(2)`.

Explanation:

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 =
`length (breadth)`

Area of bigger rectangle =
`length (breadth)`

⇒
`Area1 = 42(72) ft^(2)`

⇒
`Area1 = 3024ft^(2)`

Similarly, Area of enclosed rectangle =
`length (breadth)`

⇒
`Area2 = 38(68)ft^(2)`

⇒
`Area2 = 2584ft^(2)`

Now, the area of walk =
`Area1-Area2`

⇒ area of walk =
`(3024-2584)ft^(2)`

⇒ area of walk =
`440ft^(2)`

∴ The area of the walk is 440
`ft^(2)`.