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=(b_1+b_2)/(2)\cdot h`
We have:

`b_1=5\sqrt2;\ b_2=3\sqrt2;\ h=4\sqrt2`
Substitute:

`A=(5\sqrt2+3\sqrt2)/(2)\cdot4\sqrt2=(5\sqrt2)/(2)\cdot4\sqrt2=(5\cdot4\cdot\sqrt2\cdot\sqrt2)/(2)\\\\=(20\cdot2)/(2)=20`
Used:
`√(a)\cdot√(a)=a`