Answer:
The area of Nancy's garden is [tex]16\frac{7}{8}\ yd^{2}[/tex]
Step-by-step explanation:
I assume that the Nancy's garden is a rectangle shape
To find the area first convert mixed number to an improper fraction
[tex]4\frac{1}{2}\ yd=\frac{4*2+1}{2}=\frac{9}{2}\ yd[/tex]
[tex]3\frac{3}{4}\ yd=\frac{3*4+3}{4}=\frac{15}{4}\ yd[/tex]
Therefore
The area is equal to
[tex]A=\frac{9}{2}*\frac{15}{4}=\frac{135}{8}\ yd^{2}[/tex]
convert to mixed number
[tex]\frac{135}{8}\ yd^{2=\frac{128}{8}+\frac{7}{8}=16\frac{7}{8}\ yd^{2}[/tex]