Question

A garden is made up of 4 triangles. A gardener wants to put a fence around the garden to keep animals from eating the vegetables. Determine how many feet of fencing the gardener should buy using the given dimensions. Show your steps or explain your thinking, including the use of appropriate vocabulary

Answer 1

To determine the area of the garden:

`\begin{gathered} By\text{ similar triangles, we can say that:} \\ ZC=2ft\text{ then AZ= 2 ft} \\ XA=BX=3\text{ ft} \\ XZ=BY=YC=4\text{ ft} \end{gathered}`

Then the perimeter of the whole garden is:

`(2\cdot2ft)+(2\cdot3ft)+(2\cdot4ft)=4+6+8=18\text{ ft}`