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What is the perimeter of an isosceles trapezoid whose parallel sides are 29.75 cm and 19.25 cm with an area of 171.5 square cm showing work and final answer to one decimal place?
Wiki User
∙ 9y ago
Area: 0.5*(29.75+19.25)*height = 171.5 square cm
Height: (171.5*2)/(29.75+19.25) = 7 cm
The isosceles trapezoid will have right angle triangles at each side with a base of (29.75-19.25)/2 = 5.25 cm so use Pythagoras to find its hypotenuse:-
Pythagoras: 7 squared+5.25 squared = 76.5625 and square root is 8.75
Perimeter: 8.75+8.75+29.75+19.25 = 66.5 cm
Wiki User
∙ 9y ago
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