Question

A rectangular yard measuring 39ft by 63ft is bordered (and surrounded) by a 2 ft fence. Inside, a walk that is wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.

Answer 1

Given :

A rectangular yard measuring 39 ft by 63 ft is bordered (and surrounded) by a 2 ft fence.

To Find :

The area of this walk.

Solution :

Area of whole park :

$A=39\times 63\ ft^2\\\\A=2457\ ft^2$

Now, length and breadth after removing the fences is l = 63 - 2( 2) = 59 ft and b = 39 - 2( 2 ) = 35 ft.

Area of inner park :

A' = 35 × 59 ft²

A' = 2065 ft²

Therefore, area of fencing is 2457 - 2065 = 392 ft² .

Hence, this is the required solution.