Answer:that is the answer
Step-by-step explanation:
I only know of 4 ways, and this might not even be correct, but here they are.
The first is verbally (a description of words) second is numerically ( by a table of values) third is visually (Graph) last is algebraically ( by a formula)
Remark
This is quite a nice little problem. It takes a minute or three to figure out the answer, and when you do, you will be certain that you have been tricked. It is a little like the egg of Columbus.
Solution
The Base of Triangle ABN is AB
The Base of Triangle CDM is CD
The height of both given triangles is h. That is the distance between the two parallel lines.
Area ABN = 1/2*AB * h = 23 cm^2
Area CDM = 1/2*CD * h = 18 cm^2
Now the Area of the trapezoid is
Area_Trapezoid = 1/2 * h (AB + CD) Using the distributive property Remove the brackets.
Area_Trapezoid = 1/2*AB*h + 1/2*CD*h Did you notice something? Those terms are just the area of the triangles (written above.)
Area Trapezoid = 23 + 18 = 41 cm^2 <<<< Answer
The given figure can be divided in two parts 1) Square with side 7 in 2) A right triangle with base 12 in and height 7 in.
1) Area of square = 
Side of the square is 7 in.
Area = 
2) Area of triangle = 
Area of triangle =
Area of polygon= Area of square+ Area of triangle
Area of polygon = 49+42 =91 square in.
Area = 