# SAT Math Multiple Choice Practice Question 468: Answer and Explanation

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**Question: 468**

**9.**

In the figure above, the perimeter of square *FCDE* is how much smaller than the perimeter of rectangle *ABDE* ?

A. 2

B. 3

C. 4

D. 7

E. 16

**Correct Answer:** C

**Explanation:**

**C** Remember that the perimeter is the sum of all the sides. *FCDE* is a square, so all the sides are equal. Because = 3, each side of the square is 3, so you know that , , and are all 3. *ABDE* is a rectangle, which means that the opposite sides are equal. = 2, so = 2 also. Along the same lines equals 3, so that means the opposite side, , also equals 3. Add up all the sides of *ABDE* to find the perimeter: 2 + 2 + 3 + 3 + 3 + 3 = 16. To find out how much smaller the perimeter of *FCDE* is, just subtract: 16 – 12 = 4.