A rectangular yard measuring 31ft. by 49ft. is bordered (and surrounded) by a fence. Inside, a walk that is 3ft. wide goes all the way along the fence.

Question

Please answer quickly.

Find the area of this walk. Be sure to include the correct unit in your answer.

Answer 1

Hello Madeleine,

First, calculate the area of the rectangular yard. 

A = L x W    where A equals area, L equals length, and W equals width. 

According to your stated problem: 

A = 31 x 49 

A = 1519 square feet          <-------Area of Rectangular yard.

Now, according to your stated problem there is a walk that is 3 feet wide going all the way along the fence (Inside). "

Therefore, you have six feet to subtract from each of the values above (31) and (49). Why? Three feet on each side, correct? 

A = L x W 

A = 25 x 43

A = 1075 square feet     <----------Area of new rectangle formed by allowing for three foot walk. 



Now, subtract the area of the new rectangle formed from the area of the original area. Doing so, will give you the area of the walk, correct? 


Original area    =   1519 square feet 
New area         =   1075 square feet 
-----------------------------------------
Area of WALK =  444 square feet




I hope I have helped and you have a great day tomorrow.