What is the height and area of the polygon?

Mathematics

1 answer:

bija089 [108]3 years ago

7 0

Answer:

Below in bold.

Step-by-step explanation:

If we draw a line from top right vertex perpendicular to the bottom line we get a right triangle.

Height of this triangle = sqrt(5^2 - 3^2) = 4.

This is also the height of the polygon.

The polygon is a trapezium so:

Area of the polygon = 1/2(5 + 8) * 4

= 6/5 * 4

= 26 m^2.

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