Question

Analyze the diagram below and complete the instructions that follow.

Answer 1

Answer:

$x= 7, y=4\sqrt{2}$

Correct option B.

Step-by-step explanation:

The diagram shows a trapezoid with a base angle of 45° and the other base angle of 90°.

We have completed the diagram to draw a perpendicular line over the base of height h=4. A triangle is formed with an angle of 45°.

Recall a right triangle with angles of 45° is isosceles, thus the base and the height are h=4. Please check the diagram below.

For that triangle, we apply Pythagora's Theorem:

$y^2=4^2+4^2=2*4^2$

Thus:

$y=\sqrt{2*4^4}=4\sqrt{2}$

$y=4\sqrt{2}$

The base of the trapezoid x is h + 3 = 7

Thus:

$\mathbf{x= 7, y=4\sqrt{2}}$

Correct option B.