Ameeka

Ameeka 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:

$$\begin{gathered} a=3{\displaystyle \frac{1}{2}}=3+{\displaystyle \frac{1}{2}}={\displaystyle \frac{3\cdot 2+1}{2}}={\displaystyle \frac{7}{2}}=3.5\text{ ft } \\ b=6{\displaystyle \frac{1}{2}}=6+{\displaystyle \frac{1}{2}}={\displaystyle \frac{6\cdot 2+1}{2}}={\displaystyle \frac{13}{2}}=6.5\text{ ft } \\ {S}_1=a\cdot b=3.5\cdot 6.5={\displaystyle \frac{91}{4}}=22\frac{3}{4}=22.75{\text{ft}}^2 \\ {S}_2=20{\text{ft}}^2 \\ {S}_1>S_2 \\ x=0=0 \end{gathered}$$

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