# SAT Math Multiple Choice Question 623: Answer and Explanation

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**Question: 623**

**8.** One bag of grass seed can cover 5,000 square feet of new lawn. If each bag costs *p* dollars, which of the following expressions gives the cost, in dollars, to cover a new rectangular lawn that measures *a* feet by *b* feet?

- A.
- B.
- C.
- D. 5,000
*abp*

**Correct Answer:** B

**Explanation:**

**B**

**Algebra (word problems) MEDIUM**

Perhaps the most straightforward way to approach this question is to regard it as a conversion from a given *area of lawn* (in square feet) to *cost* (in dollars).

Area of rectangular lawn:

*A* = *bh* = *ab* square feet

Convert using given conversion factors:

Make sure to check this calculation by noticing that all units "cancel" as common factors, except for the unit we want, dollars, which remains in the numerator.