# Find the area of a parallelogram with vertices A(–4, 2), B(1, 6), C(15, 6), and D(10,

• Sep 5th 2009, 03:06 PM
Leo34005
Find the area of a parallelogram with vertices A(–4, 2), B(1, 6), C(15, 6), and D(10,
Find the area of a parallelogram with vertices A(–4, 2), B(1, 6), C(15, 6), and D(10, 2).

A) 48 square units
B) 56 square units
C) 60 square units
D) 51 square units
E) 70 square units
• Sep 5th 2009, 03:43 PM
mr fantastic
Quote:

Originally Posted by Leo34005
Find the area of a parallelogram with vertices A(–4, 2), B(1, 6), C(15, 6), and D(10, 2).

A) 48 square units
B) 56 square units
C) 60 square units
D) 51 square units
E) 70 square units

Start by plotting the given points and drawing the parallelogram. Now read this: Area of a Parallelogram
• Sep 5th 2009, 03:55 PM
Plato
$\overrightarrow {AB} = \left\langle {5,4} \right\rangle \;\& \,\overrightarrow {AD} = \left\langle {14,0} \right\rangle$

Then $\text{Area}=\left\| {\overrightarrow {AB} \times \overrightarrow {AD} } \right\|$
• Sep 5th 2009, 04:02 PM
mr fantastic
Quote:

Originally Posted by Plato
$\overrightarrow {AB} = \left\langle {5,4} \right\rangle \;\& \,\overrightarrow {AD} = \left\langle {14,0} \right\rangle$

Then $\text{Area}=\left\| {\overrightarrow {AB} \times \overrightarrow {AD} } \right\|$

This answer is correct but may be beyond the OP's current level of understanding.

Edit: OP = Original Poster.