Sunday, November 15, 2009

Rose's garden is in the shape of a trapezoid.?

If the height of the trapezoid is 16m, one base is 20m, and the are is 224msquared, find the length of the other base.

Rose's garden is in the shape of a trapezoid.?
Area of a Trapezoid:





A = [ h (b1 + b2) ] /2, where b1 and b2 are the two bases of the trapezoid.





Thus, you have:





224 = [ 16( 20 + x)) ] /2 = [ 320 + 16x] /2 = 160 + 8x. Subtract 160 from both sides of the equation.





84 = 8x, so x = 10.5 meters.


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