Question

Find the area of the following figure.

Answer 1

The answer is: 60 sq. units

Answer 2

Answer:

$\large \boxed{\text{60 units}^{2}}$

Step-by-step explanation:

You haven't given us a diagram of your figure. Assume it is like the one in the image below.

The formula for the area of a parallelogram is

A = bh

1. Determine the height of the parallelogram

Notice that the angle is 45°. That makes the triangle an isosceles right triangle, so we can use Pythagoras' Theorem.

h² + h² = (6√2)²

    2h² = 36 × 2 = 72

      h² = 36

        h = 6

2. Calculate the area of the parallelogram

$\begin{array}{rcl}A & = & bh\\A & = & 10 \times 6\\& = & \textbf{60 units}^{\mathbf{2}}\\\end{array}\\\text{The area of the figure is \large \boxed{\textbf{60 units}^{\mathbf{2}}} }$