document.write( "Question 77170: Problem:
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document.write( "Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base.\r
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document.write( "Area of a trapezoid= A=1/2h(B+b)\r
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document.write( "Hints:
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document.write( "B and b are 2 different variables. B does not = b
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document.write( "B and b are both bases of the trapezoid. (A trapezoid has 2 bases)
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document.write( "B is 20 m; you must find b.
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document.write( "You may want to use your answer to question 24 above to solve this problem, BUT IT IS NOT ACTUALLY NECESSARY; it just makes it slightly easier.
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document.write( "Be sure to check your answer. Put your answer back into the formula for the area of a trapezoid. Does the garden area still equal 224 m2?
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Algebra.Com's Answer #55481 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base. \n" ); document.write( "Area of a trapezoid= A=1/2h(B+b) \n" ); document.write( ": \n" ); document.write( ".5h(B+b = A \n" ); document.write( ": \n" ); document.write( ".5(16)(20+b) = 224; find b \n" ); document.write( ": \n" ); document.write( "8(20+b) = 224 \n" ); document.write( "160 + 8b = 224 \n" ); document.write( "8b = 224 - 160 \n" ); document.write( "8b = 64 \n" ); document.write( "b = 64/8 \n" ); document.write( "b = 8 \n" ); document.write( ": \n" ); document.write( "Check: \n" ); document.write( ".5(16)(20+8) = \n" ); document.write( "8 * 28 = 224 \n" ); document.write( " |