Respuesta :

Answer:

40 units²

Step-by-step explanation:

First find the length of one of the longer sides.  This length is found using the Pythagorean Theorem:

L = √[ 8² + 4² ] = √[ 80 ] = 4√5.

Similarly, the width is W = √[ 2² + 4² ] = √[ 20 ] = 2√5.

The area of the rectangle is A = L * W = (2√5)(4√5) = 8(5) = 40 units²