Given:
• Length of bases of the trapezoid:
a = 6 in
b = 12 in
• Area of trapezoid = 63 in²
Let's find the height of the trapezoid.
To find the height of the trapezoid, apply the formula for the area of a trapezoid:
[tex]A=\frac{a+b}{2}*h[/tex]
Where:
A is the area
a and b are the bases
h is the height.
Rewrite the formula for h:
[tex]h=\frac{2A}{a+b}[/tex]
Now, plug in the values and solve for the height, h:
[tex]\begin{gathered} h=\frac{2*63}{6+12} \\ \\ h=\frac{126}{18} \\ \\ h=7\text{ in} \end{gathered}[/tex]
Therefore, the height of the trapezoid is 7 inches.
ANSWER:
b. 7 in
