SOLUTION: the trapezoid has an area of 48cm squared. find the value of x the height is x+1 base is x+6 and base is x

Question 35675: the trapezoid has an area of 48cm squared. find the value of x the height is x+1 base is x+6 and base is x
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the formula for the area of a trapezoid:

In your problem:
A = 48 sq.cm.
b1 = x+6
b2 = x
h = x+1
Simplify.
Factor a 2 in the top.
Cancel the 2s.
Perform the indicated multiplication.
Subtract 48 from both sides of the equation.
Solve for x by factoring.
Apply the zero products principle.
and/or
If then This is an acceptable solution as it is positive.
If then This is not meaningful as the length of the base has to be a positive value.
Answer:
x = 5 cm.

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