Question

74. Noam wants to put a fence around his rectangular garden. His garden measures 35 feet by 50 feet. Thegarden has a path around it that is 3 feet wide. How much fencing material does Noam need to enclose thegarden and path?A. 97 ftB. 194 ftC. 182 ftD. 146 ft

Answer 1

Given:

The length of the rectangular garden, l=50 feet.

The breadth of the rectangular garden, b=35 feet.

The width of the path around the garden, w=3 feet.

The figure can be drawn as,

So, the length of the fence, L=l+2w.

The breadth of the fence, B=b+2w

The perimeter of the fence can be calculated as,

`\begin{gathered} P=2(L+B) \\ =2(l+2w+b+2w) \\ =2(l+b+4w) \\ =2(50+35+4*3) \\ =2(50+35+12) \\ =2*97 \\ =194\text{ ft} \end{gathered}`

Therefore, the perimeter of the fence is 194 ft.

Option B is correct.