Answer:
12
Step-by-step explanation:
you add 5 and 7 for the median
The length of the median of the trapezoid is 12 units if the area of a trapezoid is 60.
It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
We have:
The area of a trapezoid is 60.
The length of one base is 7 units greater than the other base, and the height of the trapezoid is 5.
As we know,
The area of the trapezoid:
A =(a+b)h/2
b = a + 7
h = 5
A = 60 units square
Plug the above values in the formula:
60 =(a + a + 7)5/2
120 =(a + a + 7)5
120 =(2a + 7)5
120/5 =(2a + 7)
24 = 2a + 7
2a = 24 - 7
2a = 17
a = 17/2
a = 8.5 units
b = a + 7 = 8.5 + 7 = 15.5
The length of median = (8.5+15.5)/2
The length of the median = 12
Thus, the length of the median of the trapezoid is 12 units if the area of a trapezoid is 60.
Learn more about the trapezoid here:
brainly.com/question/8643562
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