# SAT Math Multiple Choice Question 956: Answer and Explanation

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**Question: 956**

**8.**

In the figure above, what is the area of Δ*QRS*?

- A.
- B. 10
- C.
- D. 20

**Correct Answer:** D

**Explanation:**

**D**

**Difficulty:** Medium

**Category:** Additional Topics in Math / Geometry

**Strategic Advice:** Treat the variable lengths as you would number lengths; the same rules and theorems still apply.

**Getting to the Answer:** The area of a triangle is given by the formula. Before you can use the area formula, you'll need to use the Pythagorean theorem to find the lengths of the base and the height, 2*x* and *x*:

The height (*x*) is, and the base is twice that, or. This makes the area of the triangle, which matches (D).