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

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!