Questions
The area of the region enclosed by 4 |x| + 5 |y| ≤ 20 is
a
10
b
20
c
40
d
none of these
detailed solution
Correct option is C
The four lines enclosing the given region are 4x + 5y = 20, 4x – 5y = 20, – 4x + 5y = 20 and – 4x – 5y = 20. Clearly, the four lines form a rhombus having diagonals of length 10 and 8.∴ Required area=12×10×8=40Talk to our academic expert!
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