Answer:
Given:
A = 66 inches²
base = 11 inches
height= ?
Solution
A = bh
[tex]66 \: inches {}^{2} = 11 \: inches(h)[/tex]
[tex] \frac{66 \: inches {}^{2} }{11 \: inches} = \frac{11 \: inches(h)}{11 \: inches} [/tex]
cancel 11 inches in both numerator and denominator in the right Equation .
[tex]6 \: inches \: = h[/tex]
[tex]height = 6 \: inches[/tex]
Checking:
A = bh
66 inches² = 11 inches (6 inches)
66 inches² = 66 inches²✅