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April 1, 2015

April 1, 2015

Posted by **Anonymous** on Saturday, April 28, 2012 at 12:44am.

2.The perimeter of an isosceles trapezoid is 40 ft. Thr bases of the trapezoid are 11ft and 19 ft. Find the area of the trapezoid.

- Geometry -
**Reiny**, Saturday, April 28, 2012 at 9:03am1. base -- b

height ==h

bh = 216

2b + 2h = 66

b+h = 33

h = 33-b

then b(33-b) = 216

b^2 - 33b + 216=0

(b-24)(b-9) = 0

b = 24 or b=9

if b=24, h = 33-24 = 9

if b = 9 , h = 33-9 = 24

the rectangle is 24 by 9, (you can call either one the base, then the other is the height)

2. Make a sketch, label each of the equal sides x

construct right-angled triangles at each end

So you have a rectangle + 2 equal right-angled triangles

in each of those triangles, the hypotenuse is x

the base is 4

Find the height using Pythagoras,

the rest is easy.

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