We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
-5
125
3
avatar+1014 

The length of a rectangle is shown below:

On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair 1, 3, and the point B is on ordered pair negative 3, 3. A straight line joins the points A and B.

If the area of the rectangle to be drawn is 20 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle?

 Mar 14, 2019
edited by Nickolas  Mar 14, 2019
 #1
avatar+234 
+3

If you put A and B on a graph, you can easily see that they are 4 units apart. Let's call the length of CB and/or DA x. Using the area formula for a rectangle, we have 4 * x = 20. Divide both sides by 4, and we get x = 5. So the points need to be at (-3, -2) and (1, -2). You can also do this by figuring out x, then subtracting x from the y coordinates. 

 

Hope this helps!

 Mar 14, 2019
 #2
avatar+1014 
-3

Thankyou amazing so much thanks I am having these hard times on some of these questions thanks so much for the help sicerilly. 

Nickolas  Mar 14, 2019
 #3
avatar+234 
+2

No problem! I'm glad I can help!

LagTho  Mar 14, 2019

11 Online Users

avatar