Answer:
The area of the trapezoid is of 24 square inches.
Step-by-step explanation:
The trapezoid can be divided as:
A rectangle with base 3 inches and height 4 inches.
A right triangle with sides 3 inches and 4 inches.
The area of the trapezoid is the sum of the area of the rectangle with the area of the two right triangles.
Area of the rectangle:
The area of the rectangle with base b and height h is: A = b*h.
In this question, we have that b = 3, h = 4. So
A = b*h = 3*4 = 12
Area of the right triangle:
The area of a right triangle with sides a and b is: A = 0.5*a*b
In this question.
2 right triangles, each with a = 3, b = 4. So
A = 2*0.5*a*b = 3*4 = 12
Area of the trapezoid:
12 + 12 = 24
The area of the trapezoid is of 24 square inches.
