SOLUTION: The length of the lower base of a trapezoid is 2 cm. longer than the length of the upper base and the height is 1 cm. longer than the length of the upper base, what are the dimens

Question 1168285: The length of the lower base of a trapezoid is 2 cm. longer than the length of the upper base
and the height is 1 cm. longer than the length of the upper base, what are the dimensions of
the trapezoid if the area is 36cm 2 ?

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Use the given information to write the area in terms of a single variable:

x = length of upper base
x+2 = length of lower base (2cm longer than the upper base)
x+1 = height (1cm longer than the upper base)

The area of a trapezoid is the average of the two bases, multiplied by the height.

[ignore the negative answer since it makes no sense in the problem]

ANSWERS: The bases are x=5cm and x+2=7cm; the height is x+1=6cm.

Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.

Let x be the length of the upper base. Then the length of the lower base is (x+2) cm, and the length of the height is (x+1) cm. The equation for the area of the trapezoid is = 36 cm^2, or = 36, which implies x + 1 = = 6, x = 5. ANSWER. The upper base is 5 cm long; the lower base is 7 cm long; the altitude is 6 cm.

Solved.

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