Question

Find the area of a trapezoid based on the information given below. H=4√2 b1=5√2 b2=3√2

Answer 1

The formula of the area of the trapezoid:
$A=\dfrac{b_1+b_2}{2}\cdot h$
We have:
$b_1=5\sqrt2;\ b_2=3\sqrt2;\ h=4\sqrt2$
Substitute:
$A=\dfrac{5\sqrt2+3\sqrt2}{2}\cdot4\sqrt2=\dfrac{5\sqrt2}{2}\cdot4\sqrt2=\dfrac{5\cdot4\cdot\sqrt2\cdot\sqrt2}{2}\\\\=\dfrac{20\cdot2}{2}=20$
Used: $\sqrt{a}\cdot\sqrt{a}=a$