Respuesta :
Answer:
The area of window is [tex]49\frac{5}{6}[/tex] ft²
Step-by-step explanation:
Given : A rectangular window with width [tex]8\frac{2}{3}[/tex] ft and height [tex]5\frac{3}{4}[/tex] ft.
We have to find the area of the window.
Since, The window is in shape of a rectangle so area of window is equal to area of rectangle.
Area of rectangle = Length × breadth
Here, Length = [tex]8\frac{2}{3}=\frac{26}{3}[/tex] ft
and height= breadth = [tex]5\frac{3}{4}=\frac{23}{4}[/tex] ft.
Substitute, we have,
Area of rectangle = [tex]\frac{26}{3}\times \frac{23}{4}[/tex]
Simplify, we have,
Area of rectangle = [tex]\frac{598}{12}=\frac{299}{6}[/tex]
writing in mixed fractions, we have,
Area of rectangle = [tex]49\frac{5}{6}[/tex]
Thus, The area of window is [tex]49\frac{5}{6}[/tex] ft²