SOLUTION: https://world.cyberhigh.org/Courses/geometry-b/unit9/images/Unit9finalquiz_q13stem.gif The choices are: 1) 288.6 ft 2)336.2 ft 3)243.8 ft 4)147.6 ft *Note: I could not co

Algebra ->  Polygons -> SOLUTION: https://world.cyberhigh.org/Courses/geometry-b/unit9/images/Unit9finalquiz_q13stem.gif The choices are: 1) 288.6 ft 2)336.2 ft 3)243.8 ft 4)147.6 ft *Note: I could not co      Log On


   



Question 887959: https://world.cyberhigh.org/Courses/geometry-b/unit9/images/Unit9finalquiz_q13stem.gif
The choices are:
1) 288.6 ft
2)336.2 ft
3)243.8 ft
4)147.6 ft
*Note: I could not copy the image into the text box. Image is on link above.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The figure can be understood in either of two ways:

(*) A rectangle of 92 x 40 from which a trapezoid of bases 5 and 92 and height 35 has been removed.

(*) Two congruent trapezoids and one square; the trapezoids having bases 5 and 40 and of "height" %2892-5%29%2F2.

Choose the viewpoint you like and find the perimeter. The slanted segments are the trickier part. You already have these known sides: 40, 92, 40(again), and 5. Next, project a segment from the lower 5 foot segment so it intersects each of the 40 foot sides and identify two congruent RIGHT triangles. The slanted segment is a hypotenuse.

Each triangle is of legs %2840-5%29=35, and %2892-5%29%2F2=87%2F2.
Pythagorean Theorem will give you the hypotenuse distance.

s=sqrt%2835%5E2%2B%2887%2F2%29%5E2%29, and the figure has two of these.