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What will be the ratio between the area of a triangle bounded by the lines 5x + 2y = 20 and x-axis and y-axis to the area of a triangle bounded by 2x – 8y = 32 and x-axis and y-axis?

What will be the ratio between the area of a triangle bounded by the lines 5x + 2y = 20 and x-axis and y-axis to the area of a triangle bounded by 2x – 8y = 32 and x-axis and y-axis? Correct Answer 5 : 8

Given,

5x + 2y = 20

If x = 0, y = 10

If y = 0, x = 4

Area of triangle = 1/2 × 4 × 10 = 20 sq.unit

Given,

2x – 8y = 32

If x = 0, y = -4

If y = 0, x = 16

Then,

Area of triangle = 1/2 × 16 × 4 = 32 sq.unit

Required ratio = 20 : 32 = 5 : 8

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