131k views
0 votes
Find the perimeter and area of the polygons ​

Find the perimeter and area of the polygons ​-example-1
User Edward Tan
by
5.1k points

1 Answer

2 votes

Answer:

Below in bold.

Explanation:

This figure is a trapezoid.

We can find the missing side length by applying the Pythagoras Theorem to the right triangle on the left of the figure.

The dotted line has length 12 cm and the base of the triangle = 25 - 18 = 7 cm

So x^2 = 12^2 + 7^2 (where x = missing length)

= 144 + 49

= 189

x = √189

= 13.75 to nearest hundredth

So the perimeter

= 18 + 12 + 25 + 13.75

= 68.75 cm.

Area of a trapezoid = 1/2 (a + b) * h.

Area = 1/2 *(18 + 25) * 12

= 258 cm^2.

User Mikemaccana
by
5.1k points