Answer:
68ft of fencing are needed to surround the garden.
Step-by-step explanation:
The question above is answered below.
The garden is a joint shape: rectangle and triangle respectively. To determine the feet of fencing needed to surround the garden, we find the perimeter of the garden. Perimeter of the garden is obtained by sum total of the length and breadth of the garden. Thus:
Perimeter of a rectangle = 2( length + breadth)
= 2( 14ft + 12ft)
= 2( 26ft)
= 52ft
Perimeter of the triangle = base + length
= 6ft + 10ft
= 16ft
Note that 6ft is obtained from the extended breadth of the bottom part of the rectangle, that is, 18ft - 12ft = 6ft.
Also, the value 8ft is a kind of distraction and not needed for calculation. Although, it informs us that the height of the triangle is 8ft. But adding it again would lead to double counting and give us a wrong result.
Therefore,
Total feet of fencing needed to surround the garden = 52ft + 16ft = 68ft.
