Modulus Area

Geometry Level 3

{ y = ∣ x ∣ + 2 y = ∣ x ∣ − 2 y = ∣ x + 2 ∣ y = ∣ x − 2 ∣ \large \begin{cases} \color{#3D99F6}{y = |x| + 2} \\ \color{#456461}{y = |x| - 2} \\ \color{#D61F06}{y = |x + 2|} \\ \color{magenta}{y = |x - 2|} \end{cases}

Find the area of region bounded by the curves above.


The answer is 8.00.

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Akhil Bansal by Akhil Bansal , 22, India

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2 solutions

Akshat Sharda
Sep 25, 2015

A r e a = 8 Area=\boxed{8}

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Lu Chee Ket
Oct 24, 2015

Area bounded = 4 x (1/2) x 2 x 2 = 8 sq. units

The diagram provided by Akshat Sharda is clear.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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