Find the perimeter of the figure. round all figures to the nearest hundredth Place

The perimeter of a figure is found by adding the sides of all the figures. The figure has sides 13 and 9. Its height is 4 so each of those sides is about 4 feet. So the perimeter is 13+9+4+4 = 30

C is the best solution.

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RenatoMattice RenatoMattice · Answer 2 · 2019-06-12T07:52:09+02:00

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Height of trapezoid = 4 ft

Length of longer side= 'a' = 13 ft

Length of shorter side = 'b' = 9 ft

Due to height of 4 meter there will be right angle triangle at the corners.

In right angled triangle:

[tex]H^2=B^2+P^2\\\\H^2=4^2+2^2\\\\H^2=16+4\\\\H^2=20\\\\H=\sqrt{20}\\\\H=2\sqrt{5}\ ft[/tex]

Since it is isosceles trapezoid, then there two non parallel sides should be equal.

So, Perimeter of isosceles trapezoid is given by

[tex]13+9+2\sqrt{5}+2\sqrt{5}\\\\=22+4\sqrt{5}\\\\=30.94\ ft[/tex]

Hence, option 'c' is correct.