+0

# Find the area of the region determined by the system ​

0
343
1
+644

Find the area of the region determined by the system \begin{align*} y &\geq |x| \\ y &\leq -|x+1| + 4. \end{align*}

Mar 15, 2018

### 1+0 Answers

#1
+96038
+1

This area forms a rectangle with vertices  (0,0), (1.5,1.5), (-1,4)  and (-2.5, 2.5)

The length of one side is  √ [2 * 1.5^2 ] =  1.5√2

And the length of the other side is √ [2 *2.5^2 ]  = 2.5√2

So  the total area  = 1.5√2 * 2.5√2  =  3.75 * 2    =  7 units^2

Here's a pic of the region :  https://www.desmos.com/calculator/zlpwagi3cx

Mar 15, 2018

### New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.