First slide

Equation of line in Straight lines

Question

Perimeter of the quadrilateral bounded by the coordinate axis and the lines $x + y = 50$ and $3 x + y = 90$ is

Moderate

A

$80 + 20 \sqrt{2}$
B

$80 + 10 \sqrt{10}$
C

$80 + 20 \sqrt{2} + 10 \sqrt{10}$
D

110

Solution

Coordinates of the vertices are (0, 0), (30, 0),
(20, 30), (0, 50). Lengths of the sides are 30,
$10 \sqrt{10}, 20 \sqrt{2}, 50$ .

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