Question

60 POINTS AND RAINLIEST!

Koji is installing a rectangular window in an office building. The window is 823 feet wide and 534 feet 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.

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Answer 1

49 5/6 will be your answer

Explanation:

Answer 2

Area of the window
`=49(5)/(6)\ \text{ft}^2`

Solution:

Width of the window =
`8(2)/(3)` feet

Height of the window =
`5(3)/(4)` 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 =
`8(2)/(3)* 5(3)/(4)`

Convert mixed fraction into improper fraction.

`$=(26)/(3)* (23)/(4)`

Multiply the numerators and denominators separately.

`$=(598)/(12)`

Divide the numerator and denominator by the common factor 2.

`$=(598/2)/(12/2)`

`$=(299)/(6)`

Now convert improper fraction into mixed fraction.

`$=49(5)/(6)\ \text{ft}^2`

Area of the window
`=49(5)/(6)\ \text{ft}^2`.