Show work please If the correct length and width of an index card are 12 point 70 cm and 7 point 62 cm respectively what is the percent error for the area of the card?

Answer 1

As Area of any object is given be the formula A=LxB or Area equals Length multiplied by Breadth. You Card is 12.7cm by 7.62cm therefore substituting unknowns for constants gives the answer of 89, 687.4 square cm accurate to plus or minus 0.5 sq cm.

Answer 2

To find the percent error for the area of the card, you need to compare the calculated area with the accepted area and find the difference as a percentage of the accepted area.

First, calculate the accepted area by multiplying the length and width together: 12.70 cm * 7.62 cm = 96.834 cm^2.

Next, calculate the calculated area using the given lengths: 12.12 cm * 7.62 cm = 92.4644 cm^2.

To find the difference, subtract the calculated area from the accepted area: 96.834 cm^2 - 92.4644 cm^2 = 4.3696 cm^2.

Finally, calculate the percent error by dividing the difference by the accepted area and multiplying by 100: (4.3696 cm^2 / 96.834 cm^2) * 100 = 4.5119%.