GRE Sample Test 1 Quantitative Reasoning 2

Question : 11 of 20

Marks: +1, -0

In the xy-plane, rectangle WXYZ has vertices at (–2, –1), (–2, y), (4, y), and (4, –1). If the area of WXYZ is 18, what is the length of its diagonal?

$3√2$
$3√3$
$3√5$
$3√6$
$3√7$

Validate

Solution:

Notice that the length of WZ is 4 − (−2) = 6. If the area is 18 = 6 × w, then w is equal to 3. Now you have a right triangle with legs of 3 and 6. Use the Pythagorean Theorem:

3^2+6^2

c^

or 9 + 36 =

c^2

So, c =

√{45}

√{9×5}

3√5

Go to Question:

Prev Question

Next Question