What is the area of the trapezoid shown below?

The height of the trapezoid is 3 because the triangle is a 3-4-5 triangle (Pythagorean triplets).

Now find area of the rectangle by L*W.

The area of the rectangle is 12.

Now find the area of the triangle.

Area of a triangle is height * base /2.

Therefore the area of the triangle is 4*3/2=6.

Now combine the area of the rectangle and triangle.

The area of the trapezoid is 18.

check the picture below.

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x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a