A rectangular backyard has a length of of 68 feet and a width if 40 1/2 feet. the owner wants to play 75% of the yard with grass seed the planting rate for the seed is 1.5 pounds per 1000 square feet of area.To the nearest tenth of a pound ,how much grass seed will tye owner need to plant

Respuesta :

We have the following:

The first thing to do is calculate the area of the backyard

[tex]\begin{gathered} A=l\cdot w \\ l=68 \\ w=40\frac{1}{2} \\ \text{replacing:} \\ A=68\cdot40\frac{1}{2}=2754 \end{gathered}[/tex]

Now, they tell us it is 75% of the backyard therefore

[tex]2754\cdot0.75=2065.5[/tex]

Now we calculate the amount in pounds knowing that for each square foot of area 1.5 pounds are needed

[tex]2065.5\cdot\frac{1.5}{1000}=3.1[/tex]

The answer is 3.1 pounds