anonymous one year ago Quadrilateral DEFG is a rectangle with vertices D(–8, 2), E(2, 7), F(5, 1), and G(–5, –4). Find the area of the rectangle. (no image, please help!!)

1. Jhannybean

|dw:1439022085208:dw|

2. anonymous

oh gosh.. Do i multiply 7 by 5?

3. Jhannybean

Nope. think of the width of the rectangle as x, and the length as y. |dw:1439022173641:dw|

4. anonymous

ahh so many numbers

5. Jhannybean

Counting up from 2 $$rightarrow$$ to 7, or even from -4 $$\rightarrow$$ to 2, how many steps is that?

6. anonymous

5?

7. Jhannybean

|dw:1439023205596:dw| We can use the distance formula to find the distances of x and y. $x=\sqrt{(2-(-8))^2+(7-2)^2}$$y=\sqrt{(2-5)^2+(7-1)^2}$ After finding x and y, just multiply them together. $A=x\cdot y$

8. anonymous