A rectangular yard measures 42 ftx 72 ft is bordered and surrounded by a fence inside a walk that is 4 feet wide goes all the way along the fence find the area of this be sure to include the correct unit in your answer

Respuesta :

Answer: Area = 4000ft^2

Step-by-step explanation: The area bounded by the fence = (72+4+4)(42+4+4) = 4000ft^2

Answer:

area  of the rectangular yard = 72 × 42 = 3024 ft²

area bounded by the fence = 34 × 64 = 2176 ft²

area of walk = 848 ft²

Step-by-step explanation:

The rectangular yard has a dimension of 42 ft by 72 ft.

The area of the rectangular yard  = Length × width

L = 72 ft

W = 42 ft  

area  of the rectangular yard = 72 × 42 = 3024 ft²

The rectangular yard is surrounded by a fence and a walkway is also inside the fence . This means reduce 4 ft for all sides of the rectangular yard to get the area of the walkway. This means reduce 8 ft to the length and width of the rectangular yard.

Length of fence = 72 - 8 = 64 ft

width of fence = 42 - 8 = 34 ft

area inside the walkway = 64 × 34 = 2176 ft²

area of walk = 3024 - 2176

area of walk = 848 ft²