Koji is installing a rectangular window in an office building. The window is 8 2/3 ft wide and 5 3/4 ft high. The formula for the area of a rectangle is A=bh. What is the area of the window? Enter your answer as a mixed number in simplest form in the box.
Answer:
The area of window is \(49\frac{5}{6}\) ft²
Step-by-step explanation:
Given : A rectangular window with width \(8\frac{2}{3}\) ft and height \(5\frac{3}{4}\) 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 = \(8\frac{2}{3}=\frac{26}{3}\) ft
and height= breadth = \(5\frac{3}{4}=\frac{23}{4}\) ft.
Substitute, we have,
Area of rectangle = \(\frac{26}{3}\times \frac{23}{4}\)
Simplify, we have,
Area of rectangle = \(\frac{598}{12}=\frac{299}{6}\)
writing in mixed fractions, we have,
Area of rectangle = \(49\frac{5}{6}\)
Thus, The area of window is \(49\frac{5}{6}\) ft²