Question

What is the area of this trapezoid?

Answer 1

Area of trapezoid = 19.84 in^2

Explanation:

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

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

`X^2 + Y^2 = Hypotenuse^2`

we sub the values in the formula

`3^2 = Y^2 + 4^2`

Y =
`√(7)` 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