Question

find the area of the rectangle shown
7\frac{1}{2} ft
4\frac{1}{2} ft
square feet
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Explanation:

Step1: Convert mixed - numbers to improper fractions

$7\frac{1}{2}=\frac{7\times2 + 1}{2}=\frac{15}{2}$ and $4\frac{1}{2}=\frac{4\times2+1}{2}=\frac{9}{2}$

Step2: Use the rectangle area formula

The area formula of a rectangle is $A = l\times w$. Substitute $l=\frac{15}{2}$ and $w = \frac{9}{2}$ into the formula, we get $A=\frac{15}{2}\times\frac{9}{2}$.

Step3: Multiply the fractions

$\frac{15}{2}\times\frac{9}{2}=\frac{15\times9}{2\times2}=\frac{135}{4}= 33\frac{3}{4}$

Answer:

$33\frac{3}{4}$