Answer:
A = 204
Step-by-step explanation:
The formula for the area of a parallelogram is
A = bh
Data:
P = 60
h = AX =12
MX = 5
Calculation:
MA² = MX² + h² = 5² + 12² = 25 + 144 = 169
MA = √169 = 13
P = 2MA + 2MH = 2MA + 2(MX + HX) = 26 + 2(5 + HX) = 60
26 + 10 + 2HX = 60
36 + 2HX = 60
2HX = 24
HX = 12
b = MH = MX + HX = 5 + 12 = 17
A = bh =17 × 12 = 204
The area of the parallelogram is 204.
