Answer:
336 plants
Step-by-step explanation:
To find the number of tickseed plants that Michael needs to plant in his garden, we have to find the area of the garden first.
We notice that the garden has the shape of a right triangle: so, we have to find the area of the right triangle.
The area of a triangle is given by the formula
[tex]A=\frac{1}{2}bh[/tex]
where
A is the area
b is the length of the base
h is the height of the triangle
From the figure, we see that:
b = 7 m is the length of the base
h = 24 m is the height of the triangle
Therefore, applying the formula, we find the area of the garden:
[tex]A=\frac{1}{2}7\cdot 24 =84 m^2[/tex]
We also know that Michael wants to plant 4 tickseed plants for each square meter of area; therefore, the total number of plants that Michael will plant is 4 times the area of the garden, so:
[tex]N=4A=4\cdot 84=336[/tex]
