Respuesta :
Answer
She needs 14 cups of fertilizer
Step-by-step explanation
First, we need to calculate the area of the garden. The area of a rectangle is calculated as follows:
[tex]A=length\times width[/tex]In this case, the measures are 9 1/3 yards and 12 yards. Substituting these values into the formula, the garden's area is:
[tex]\begin{gathered} A=9\frac{1}{3}\times12 \\ A=112\text{ square yard} \end{gathered}[/tex]1 square yard of garden needs 1/8 cup of fertilizer. To find how many cups of fertilizer (x) needs 112 square yards, we can use the next proportion:
[tex]\frac{1\text{ square yard}}{112\text{ square yards}}=\frac{\frac{1}{8}\text{ cup of fertilizer}}{x\text{ cups of fertilizer}}[/tex]Solving for x:
[tex]\begin{gathered} 1\times x=\frac{1}{8}\times112 \\ x=14\text{ cups of fertilizer} \end{gathered}[/tex]