SOLUTION: What is the area enclosed by the graph |x|+|y|= 4?

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Question 1152455: What is the area enclosed by the graph |x|+|y|= 4?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

graph.png
here you have asquare; you can see diagonals are congruent, perpendicular to each other
then, use points (-4,0) and (0,4) to find distance between them , that is the length of the side a
a=sqrt%28%28-4-0%29%5E2%2B%280-4%29%5E2%29
a=sqrt%2816%2B16%29
a=sqrt%282%2A16%29
a=4sqrt%282%29
then area will be
A=a%5E2
A=%284sqrt%282%29%29%5E2
A=16%2A2
A=32