Q:

A window is composed of 6 windowpanes. Each has a length of 10 1/2 in. and a width of 7 1/4. what is the total area of glass in the window?

Accepted Solution

A:
1 window pane :

[tex]10 \dfrac{1}{2} \times 7\dfrac{1}{4} = \dfrac{21}{2} \times \dfrac{29}{4} = \dfrac{609}{8} \ in^2[/tex]

6 window panes :

[tex]\dfrac{609}{8} \times 6= \dfrac{609}{8} \times \dfrac{6}{1}= \dfrac{1827}{4}= 456\dfrac{3}{4} \ in^2[/tex]

------------------------------------------------------
Answer: Total Area = 456 3/4 in²
------------------------------------------------------

If it is not required to do the question in fraction, it is actually easier if we convert everything to decimals first.

10 1/2 = 10.5
7 1/4 = 7.25

1 window pane = 10.5 x 7.25 = 76.125 in²
6 window panes = 76.125 x 6 = 456.75 in²

------------------------------------------------------
Answer: Total Area = 456.75 in²
------------------------------------------------------