Question

ms. James has a 6 square foot bulletin board and a 12 square food 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?

Answer 1

Answer:

She need 72 index cards.

Step-by-step explanation:

Ms. James has a 6 square foot bulletin board and a 12 square food bulletin board and she wants to cover both boards with index cards without gaps or overlaps.

Each index card has an area of $\dfrac{1}{4}$ square foot.

Dividing the area of each board with the area of the index card will yield the the number of cards she needs to cover up completely.

Let us assume T₁ and T₂ are the number of cards she needs to cover 6 square feet food bulletin board and 12 square feet food bulletin board respectively. So

$T_1=\dfrac{6}{\frac{1}{4}}=24,\\\\T_2=\dfrac{12}{\frac{1}{4}}=48$

Therefore, in total she need 24+48=72 index cards.