Isosceles

Isosceles trapezoid ABCD has a perimeter of 39 cm. The base AB is 7 cm longer than the base CD and the arm is 2 cm shorter than the base CD. Calculate the length of the base CD.

Final Answer:

CD =  9 cm

Step-by-step explanation:

o=39 cm AB = 7 + CD BC = CD2 o = AB + CD + 2 BC  o = (7 + CD) + CD + 2 (CD2)  o=(7+x)+x+2 (x2) 39=(7+x)+x+2 (x2)  4x=36  x=436=9  x=9  CD=x=9=9 cm  Verifying Solution:  AB=7+CD=7+9=16 cm BC=CD2=92=7 cm



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