What is the area of a trapezoid that has bases of 1feet and 14 inches and a height of 3 inches? A 43.5 in.^2 B 87 in.^2 C 22.9 in.^2 D 3.6 in.^2

Respuesta :

Answer:

Option A. [tex]43.5\ in^{2}[/tex]  

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

[tex]A=(1/2)(b1+b2)h[/tex]

we have

[tex]b1=1\frac{1}{4}\ ft[/tex]

[tex]b2=14\ in[/tex]

[tex]h=3\ in[/tex]

Convert feet to inches first

Remember that

[tex]1\ ft=12\ in[/tex]

so

[tex]1\frac{1}{4}\ ft=\frac{5}{4}\ ft=12*\frac{5}{4}=15\ in[/tex]

substitute in the formula

[tex]A=(1/2)(15+14)3=43.5\ in^{2}[/tex]  

Answer:

43.5 in^2

Step-by-step explanation: