Question

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

Answer 1

Answer:

Option A. $43.5\ in^{2}$  

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

$A=(1/2)(b1+b2)h$

we have

$b1=1\frac{1}{4}\ ft$

$b2=14\ in$

$h=3\ in$

Convert feet to inches first

Remember that

$1\ ft=12\ in$

so

$1\frac{1}{4}\ ft=\frac{5}{4}\ ft=12*\frac{5}{4}=15\ in$

substitute in the formula

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