Question

1. find the area. use 3.14 for pi and round your answer.
2. divide to solve.

(-224) ÷ (-14)

1. the front of the new building measures 27 inches on the blueprint. the scale is 1 inch = 2 feet. how many yards wide will the front of the building be when it is finished?
2. find the unit rate.

18 candies in 3 boxes =
______ candies per box (with 6 filled in)

1. prime or composite?

197

Explanation:

Question 1:

Step1: Recall the formula for the area of a circle.

The area of a circle is given by \( A = \pi r^2 \), where \( r \) is the radius of the circle. Here, the radius \( r = 12 \, \text{m} \) and \( \pi = 3.14 \).

Step2: Substitute the values into the formula.

Substitute \( r = 12 \) and \( \pi = 3.14 \) into the formula: \( A = 3.14\times(12)^2 \).

Step3: Calculate the value of \( (12)^2 \).

\( 12^2 = 144 \).

Step4: Multiply to find the area.

\( A = 3.14\times144 = 452.16 \, \text{square meters} \).

Step1: Recall the rule for dividing two negative numbers.

When dividing two negative numbers, the result is positive. So, \( (-224)\div(-14) \) is the same as \( 224\div14 \).

Step2: Perform the division.

\( 224\div14 = 16 \).

Step1: Recall the formula for unit rate.

Unit rate is calculated by dividing the total number of items by the number of groups. Here, total candies = 18, number of boxes = 3.

Step2: Calculate the unit rate.

Unit rate \( = \frac{18}{3} = 6 \) candies per box.

Answer:

The area of the circle is \( 452.16 \, \text{m}^2 \).

Question 2: