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.

Respuesta :

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

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