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.

Verified Answer :

A = (8 2/3)*(5 3/4) = 49 5/6.
Need further explanation?

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