Kayla is building a custom frame using reclaimed wood. She needs the frame to be 14 1/2 inches wide by 9 1/4 inches long. She has two pieces of wood which are 18 inches long and two pieces which are 12 inches long. How much extra wood will she have. She will have two pieces blank inches long and two pieces blank inches long

Answer:

12 1/2 inches extra wood.

Step-by-step explanation:

From the question, the measurements given for the frame are ;

Length, l = 9 1/4 in  -----write as improper fraction : 37/4 in

Width, w=  14 1/2 in -------29/2 in

This should tell you that custom frame will be rectangular in shape.

Find the total perimeter of the frame which will be total length needed in inches for the frame.

P= 2{l+w}

[tex]P=2(\frac{37}{4} +\frac{29}{2} )\\\\\\P=2( \frac{95}{4} )=\frac{95}{2}[/tex]

P= 95/2 in ------total length required for the frame

Available pieces of wood are;

Two pieces of 18 in long = 2*18 = 36 in

Two pieces of 12 in long = 2*12 = 24 in

Total available length from the pieces of wood = 36 + 24 = 60 in

Extra wood available :

60/ 1 - 95/2 = 25/2 in

In mixed fraction : 25/2 = 12 1/2 inches extra wood.

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