Question

Can someone help me with this aleks

Answer 1

I think the best way to do this is by splitting up the trapezoid into two shapes since it is not a regular trapezoid. We can make a split to form a small right triangle on the left and a regular trapezoid on the right.

Small right triangle on the left:

4 inch side length and 6 inch hypotenuse with the Pythagorean theorem will give us the missing side.

missing side = square root of 6^2-4^2 =
`2√(5)`

Then the area is
`(1)/(2)*4*2√(5)=4√(5)`

Regular trapezoid on the right:

Area will be
`(6+(17-2√(5)))/(2)*4=46-4√(5)`

Summing up the two areas to get the total we have
`4√(5)+46-4√(5)=46` in^2.