Respuesta :

Answer:

Area of trapezoid = 19.84 in^2

Step-by-step explanation:

Area of trapezoid = (b1+b2)/2 * Height

to find the height we have to use  the Pythagorean formula for the left triangle

[tex]X^2 + Y^2 = Hypotenuse^2[/tex]

we sub the values in the formula

[tex]3^2 = Y^2 + 4^2[/tex]

Y = [tex]\sqrt{7}[/tex]  which the height of the triangle

now we sub the values in the trapezoid formula

Area of trapezoid = (5+10)/2 *    sqrt{7}

Area of trapezoid = 19.84 in^2