The area of the trapezoid is 43.5 inches²
Step-by-step explanation:
The formula of the area of a trapezoid is [tex]A=\frac{1}{2}(b_{1}+b_{2})h[/tex] , where:
∵ [tex]b_{1}[/tex] = [tex]1\frac{1}{4}[/tex] feet
∵ [tex]b_{2}[/tex] = 14 inches
∵ h = 3 inches
- Change the length of [tex]b_{1}[/tex] from feet to inches
∵ 1 foot = 12 inches
∴ [tex]1\frac{1}{4}[/tex] feet = [tex]1\frac{1}{4}[/tex] × 12 = 15 inches
∴ [tex]b_{1}[/tex] = 15 inches
Substitute the values of [tex]b_{1}[/tex] , [tex]b_{2}[/tex] and h in the
formula of the area
∴ [tex]A=\frac{1}{2}(15+14)(3)[/tex]
∴ A = 43.5 inches²
The area of the trapezoid is 43.5 inches²
Learn more:
You can learn more about the area of figures in brainly.com/question/12919591
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