Grace needs enough wood to make a frame for a picture. she needs the two sides to measure 12 1/2 and the top and bottom to measure 7 1/4 inches. how much wood do she need to purchase

Respuesta :

Answer:

[tex]39\frac{1}{2} \ in[/tex]

Step-by-step explanation:

we know that

The total wood needed is equal to

[tex]2[12\frac{1}{2} ]+2[7\frac{1}{4}][/tex]

Convert mixed number to an improper fraction

[tex]12\frac{1}{2}\ in=12+\frac{1}{2}=\frac{12*2+1}{2}=\frac{25}{2}=\frac{50}{4} \ in[/tex]

[tex]7\frac{1}{4}\ in=7+\frac{1}{4}=\frac{7*4+1}{4}=\frac{29}{4}\ in[/tex]

substitute

[tex]2[\frac{50}{4} ]+2[\frac{29}{4}][/tex]

[tex]\frac{100}{4}+\frac{58}{4}[/tex]

[tex]\frac{158}{4}=39.5=39\frac{1}{2} \ in[/tex]

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