Question

HELP!! PLEASE A carpenter is framing a window with wood trim where the length of the window is 9 and 1/3 feet. If the width of the window is 6 and 3/ 4 feet, how many feet of the wood is needed to frame the window? Write your answer as a proper or improper fraction

Answer 1

We need the perimeter of the window for framing

The window is in the shape of a rectangle with the height of
`9 (1)/(3)` feet and width of
`6 (3)/(4)`. The diagram of the shape is shown below

The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.

The perimeter of the window is
`9 (1)/(3)+9 (1)/(3)+6 (3)/(4)+6 (3)/(4)` =
`18 (2)/(3)+12 (6)/(4)`

We have two whole numbers 18 and 12 and two fractions
`(2)/(3)` and
`(6)/(4)`

Adding the two fractions that have different denominator

`(2)/(3)+ (6)/(4) = (8)/(12)+ (18)/(12)= (26)/(12)`, which is an improper fraction which we can change into a mixed number
`2 (1)/(6)`

So the perimeter of the window is

`18+12+2 (1)/(6) =32 (1)/(6)`

and the length of wood needed for the frame is
`32 (1)/(6)` feet