Calculate the area of a trapezoid
A trapezoid is a geometric figure with 4 sides, of which two are parallel.
The area is the measure of a figure, that is, the measure of its interior region.
Before starting to calculate the area of the trapezoid, we have as data:
- Minor base (b) = 15 ft
- Major base (B) = 23 ft
- Height (H) = 11 ft
The formula to calculate the area of the trapezoid is:
[tex]\boldsymbol{\sf{A=\dfrac{(B+b)*h}{2} \ \ \longmapsto \ Formula }}[/tex]
We substitute the data in the formula, this means that instead of the letters I am going to add the value.
[tex]\boldsymbol{\sf{A=\dfrac{(23 \ ft+15 \ ft)*11 \ ft}{2} }}[/tex]
We add the Major Base + The Minor Base, and we are left.
[tex]\boldsymbol{\sf{A=\dfrac{38 \ ft*11 \ ft}{2} }}[/tex]
We multiply the sum of both bases, by the height.
[tex]\boldsymbol{\sf{A=\dfrac{418 \ ft^{2} }{2} }}[/tex]
We divide both sides of the equation by 2.
[tex]\boxed{\boldsymbol{\sf{A=209 \ ft^{2} }}}[/tex]
Answer: The area of the trapezoid is 209 ft². The correct option is the alternative "C".
See more at:
https://brainly.com/question/12353015
Skandar
