Ameeka

Tameeka is in charge of designing a school pennant for Spirit Week. She wants the base to be 3 1/2 feet and the height to be 6 1/2 feet. She has 20 square feet of paper available. Does she have enough paper?

Result

x=

Yes

No

Step-by-step explanation:

$$\begin{gathered} a=3\frac{1}{2}=3+\frac{1}{2}=\frac{3\cdot 2+1}{2}=\frac{6+1}{2}=\frac{7}{2}=3\frac{1}{2}=3.5\text{ft} \\ b=6\frac{1}{2}=6+\frac{1}{2}=\frac{6\cdot 2+1}{2}=\frac{12+1}{2}=\frac{13}{2}=6\frac{1}{2}=6.5\text{ft} \\ {S}_1=a\cdot b=\frac{7}{2}\cdot \frac{13}{2}=\frac{7\cdot 13}{2\cdot 2}=\frac{91}{4}=22.75{\text{ft}}^2 \\ {S}_2=20{\text{ft}}^2 \\ {S}_1>S_2 \\ x=0 \end{gathered}$$

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