Question

In this figure, the quadrilateral is circumscribed about the circle. Find the perimeter of this polygon.

74 cm

76 cm

78 cm

80 cm

Answer 1

78

Explanation:

from the image

x = 9

y = 16

L = 6

z = 8

because each two are tangents to the circle from the same point

the perimeter = 78 cm

Answer 2

78 cm

Explanation:

The missing side lengths are the same as the side lengths shown, so the perimeter is double the sum of the given measures.

2(8 +16 +9 +6) cm = 78 cm

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Both of the tangents to a circle from an external point (quadrilateral vertex) are the same length.