Area of the window [tex]=49\frac{5}{6}\ \text{ft}^2[/tex]
Solution:
Width of the window = [tex]8\frac{2}{3}[/tex] feet
Height of the window = [tex]5\frac{3}{4}[/tex] feet
To find the area of the window:
The window is in rectangular shape.
Formula for the area of the rectangle = base × height
Substitute the given values in the formula.
Area of the window = [tex]8\frac{2}{3}\times 5\frac{3}{4}[/tex]
Convert mixed fraction into improper fraction.
[tex]$=\frac{26}{3}\times \frac{23}{4}[/tex]
Multiply the numerators and denominators separately.
[tex]$=\frac{598}{12}[/tex]
Divide the numerator and denominator by the common factor 2.
[tex]$=\frac{598\div2}{12\div2}[/tex]
[tex]$=\frac{299}{6}[/tex]
Now convert improper fraction into mixed fraction.
[tex]$=49\frac{5}{6}\ \text{ft}^2[/tex]
Area of the window [tex]=49\frac{5}{6}\ \text{ft}^2[/tex].
