Answer
$a = 5.6$
$b = 6.8$
Two sides measure $4.2$ each. The other two sides measure $4.5$ each.
Work Step by Step
We can set the first set of congruent sides equal to one another to solve for $b$:
$b - 2.3 = 4.5$
$b = 6.8$
Let's set the other two congruent sides equal to one another to solve for $a$:
$a - 1.4 = 2a - 7$
$a = 2a - 5.6$
$-a = -5.6$
$a = 5.6$
Let's plug in $5.6$ for $a$ to find the length of one of the sides:
length of side = $5.6 - 1.4$
Subtract to solve:
length of side = $4.2$
Two of the sides are congruent, so they both measure $4.2$. The other two sides are congruent, and if one of them measures $4.5$, the other side also measures $4.5$.
