Question

Figure ABCD is a trapezoid. Find

the value of x.
3x+3
B
13
4x+2
A
D
X = ?

Answer 1

x = 3

Explanation:

The midsegment is half the sum of the parallel bases, that is

`(1)/(2)` (3x + 3 + 4x + 2) = 13

`(1)/(2)` (7x + 5) = 13 ( multiply both sides by 2 )

7x + 5 = 26 ( subtract 5 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3