Question

PLEASE ANSWER ASAP

Figure ABCD has vertices A(- 5, 2) , B(4, 2) , C(4, - 5) , and D(- 5, - 3) . What is the area of Figure ABCD? 9 square units 45 square units 54 square units 122 square units

Answer 1

54 square units

Explanation:

ABCD = ABED + CED

A and B have same y coordinate

A and D have same x coordinate

AB ⊥ AD

AB = 4 - (-5) = 9

AD = 2 - (-3) = 5

EC = BC - AD = (2 + 5) - 5 = 2

ABCD = 9 x 5 + 1/2 (9 x 2) = 45 + 9 = 54