Question

Ms. Ellen has a rectangular garden that's 2x+5 meters by 5x-3 meters.  To plant grass seed in the garden, she needs to calculate the area of the garden.  (Remember Area = length X width)  If the seed costs $2.15 per square meter, how much will it cost to plant grass seed in the garden?

Answer 1

For this problem, we are given the dimensions of a garden and the cost of planting seeds per square meter in this garden. We need to determine the total cost of planting the seeds.

The first step is to calculate the area of the garden, for which we need to multiply the length and width:

`\begin{gathered} A=(2x+5)(5x-3)\\ \\ A=10x^2-6x+25x-15\\ \\ A=10x^2+19x-15 \end{gathered}`

Now we need to multiply the area by the cost of the seeds per square meter. We have:

`\begin{gathered} \text{ Cost}=(10x^2+19x-15)\cdot2.15\\ \\ \text{ Cost}=21.5x^2+40.85x-32.25 \end{gathered}`

The total cost is 21.5x² + 40.85x -32.25