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The height of a trapzoid is 4 in. and its area is 40 in2. One base of the trapzoid is 6 inches longer than the other base. What are the lengths of the bases? Complete the explanation of how you found your answer.

 Feb 5, 2020
 #1
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Let one base  be  =   B

Let the other be  = B + 6

 

Area of a trapezoid  = 

 

(1/2) height * ( sum of bases)    .....so we have....

 

40  = (1/2) (4) * ( B + B + 6)

 

40 = 2 (2B+6)     divide both sides  by 2

 

20  = 2B + 6       subtract  6 from both sides

 

14  = 2B      divide both sides by  2

 

7  = B  =   one base

 

And the other base =  B + 6 =  7 + 6    = 13

 

 

cool cool cool

 Feb 5, 2020

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