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9. the floor of the concession area of the transportation center has 6,…

Question

  1. the floor of the concession area of the transportation center has 6,700 square feet of glass floor and 1,048 square feet of brick floor. if half the floor of the concession area is occupied by stores and there are 13 stores, what is the average floor area of each store?

a. 150
b. 298
c. 325
d. 400

Explanation:

Calculate total floor area

Find the sum of the glass and brick floor areas.

$$ A_{\text{total}} = 6700 + 1048 = 7748\text{ sq ft} $$

Find occupied floor area

Using the Fraction Multiplication knowledge point

$$ A_{\text{occupied}} = 7748 \times \frac{1}{2} = 3874\text{ sq ft} $$

Calculate average area per store

Using the Unit Rate knowledge point

$$ A_{\text{average}} = \frac{3874}{13} = 298\text{ sq ft} $$

Answer:

  • A. 150
  • B. 298 (Correct answer)
  • C. 325
  • D. 400