SOLUTION: A trapezoid has a base length in the ratio of 2:6. If the area of the of the trapezoid is 260 and the altitude is 5, then what is the length of the longer base? A)20 B)26 C)65

Algebra.Com
Question 1143598: A trapezoid has a base length in the ratio of 2:6. If the area of the of the trapezoid is 260 and the altitude is 5, then what is the length of the longer base?
A)20
B)26
C)65
D)78
Answer by ikleyn(52754)   (Show Source): You can put this solution on YOUR website!
.

The bases are 2x and 6x, where "x" is their common measure, according to the condition.


The area of the trapezoid is  A =  square units.


The equation to find "x" is THIS :


     = 260.


Solve it for x:


    8x =  = 104.


     x =  = 13 units.


ANSWER.  The longer base is 6*13 = 78 units long.

Solved.


RELATED QUESTIONS

one base of a trapezoid is three less than twice the length of the other base. The... (answered by mestrydilip)
The trapezoid has an area of 33cm^2 and an altitude of 2m. Its two bases have ratio of... (answered by Fombitz)
in a trapezoid the sum of the base is 28 and the area is 84. what is the altitude of the... (answered by Evy)
A trapezoid has dimensions of base 1 = 2 inches, base 2 = 4 inches, and a height of 6... (answered by Greenfinch)
A trapezoid has a shorter base length of 14, an acute base angle of 72°, and a height of (answered by Edwin McCravy)
a trapezoid has one base of 10 inches,an altitude of 6 inches and an area of 51 square... (answered by greenestamps)
The area of a trapezoid is 110. If one base measures 9 and the height of the trapezoid... (answered by stanbon)
Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one... (answered by stanbon,sarah_adam)
Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m,... (answered by Nate)