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Me. James has a 6-square-foot bulletin board and a 12-square-foot bulletin board. She wants to cover both boards with index cards without gaps or overlaps. Each index card has an area of 1/4 square foot. How many index cards does she need?

Respuesta :

Answer: There are 72 index cards she needed.

Step-by-step explanation:

Since we have given that

Area of first bulletin board = 6 square foot

Area of second bulletin board = 12 square foot

Area of each index card is given by

[tex]\frac{1}{4}\ sq.\ foot[/tex]

So, Number of index cards needs for first bulletin board is given by

[tex]\frac{6}{\frac{1}{4}}\\\\=6\times 4\\\\=24[/tex]

Number of index cards needed for second bulletin board is given by

[tex]\frac{12}{\frac{1}{4}}\\\\=12\times 4\\\\=48[/tex]

Hence, Number of index cards she needed is given by

[tex]48+24\\\\=72[/tex]

Therefore, there are 72 index cards she needed.

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