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Rama09 [41]
3 years ago
6

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 t

he 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

Mathematics
1 answer:
ohaa [14]3 years ago
4 0
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


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