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 $9 \frac{1}{3}$ feet and width of $6 \frac{3}{4}$. 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 $9 \frac{1}{3}+9 \frac{1}{3}+6 \frac{3}{4}+6 \frac{3}{4}$ = $18 \frac{2}{3}+12 \frac{6}{4}$ 

We have two whole numbers 18 and 12 and two fractions $\frac{2}{3}$ and $\frac{6}{4}$

Adding the two fractions that have different denominator 
$\frac{2}{3}+ \frac{6}{4} = \frac{8}{12}+ \frac{18}{12}= \frac{26}{12}$, which is an improper fraction which we can change into a mixed number $2 \frac{1}{6}$

So the perimeter of the window is 
$18+12+2 \frac{1}{6} =32 \frac{1}{6}$ 

and the length of wood needed for the frame is $32 \frac{1}{6}$ feet