Question

Basil N . Thyme is putting in a triangular herb garden with sides of 2 yards , 3 yards and 4 yards . He needs to know the area of his greenhouse.. What is the area of his herb garden to the nearest square foot ? (convert yards to feet . ) If he can put 5 plants per square foot , how many plants will he need to germinate?

Answer 1

Given sides of triangle is: 2 yards, 3 yards and and 4 yards

`\begin{gathered} s=(a+b+c)/(2) \\ s=(2+3+4)/(2) \\ s=4.5 \end{gathered}`

Now the area is:

`\begin{gathered} A=\sqrt[]{s(s-a)(s-b)(s-c)} \\ A=\sqrt[]{4.5(2.5)(\text{1}.5)(0.5)} \\ A=2.90\text{ square yards} \end{gathered}`

nowconvert squareyard to square foot

2.90 square yeard = 26.1 square feet

five plants per square foot then in 26.1 square foot:

`26.1*5=130.5`