Answer:
The area of one trapezoidal face of the figure is 2 square inches
Step-by-step explanation:
The complete question is
The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown. What is the area of one trapezoidal face of the figure?
we know that
The area of a trapezoid is given by the formula
[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]
where
b_1 and b-2 are the parallel sides
h is the height of the trapezoid (perpendicular distance between the parallel sides)
we have
[tex]h=1\ in\\b_1=1\ in\\b_2=3\ in[/tex]
substitute the given values in the formula
[tex]A=\frac{1}{2}(1+3)(1)[/tex]
[tex]A=2\ in^2[/tex]
