Question

PLEASE HELP URGENT!! TIMED WILL GIVE 20 PTS What is the area of parallelogram ABCD?

Answer 1

You need the Pythagorean Theorem.
From D to C, we can make a right triangle. To plug this in, it's 1^2 + 3^2 = x^2. Anyway, we x = 3.16

Then we can do A to D. This is 1^2 + 4^2 = x^2. After this, we get x = 4.12

Now, normal formula for a rectangle. 3.16 x 4.12 = 13.04

ABCD is 13.04 units^2, or 13 units^2.

Answer 2

First, split up the shape into multiple other shapes. We can split it into two triangles, two different triangles, and a square.

The square has area 6.
The first triangle measures 3 x 1, meaning that the area is 3/2. Since we have two, their combined area is 3.
The other two triangles measure 4 x 1, meaning that their area is 2. Since we have two, their combined area is 4.

Thus, the area is 3 + 4 + 6 = 13.