NEED HELP ASAP Find the area of the following shape. You must show all work to receive credit.

Step-by-step explanation

FOR THE TRIANGLE ON THE 1ST QUADRANT...

AREA OF THE TRIANGLE = 1/2 * BASE * HEIGHT

= 1/2 * 2 * 2 = 2 UNIT^2

NOW,

FOR TRIANGLE AND TRAPEZIUM ON THE 2ND QUADRANT...

JOIN THE TRIANGLE ATTACHED TO THE X' AXIS ..

SO, AREA OF THE LARGE TRIANGLE = 1/2 * 4 * 4

= 8 UNIT^2

NOW AREA OF TRAPEZIUM = 1/2 * HEIGHT * SUM OF PARALLEL SIDES

= 1/2 * 1 * (1+2) = 3/2 UNIT^2

NOW TOTAL AREA = 2+8+3/2 = 11.5 UNIT^2