Answer:
Area of rectangle PLUM = 75.00 square units
Step-by-step explanation:
Since diagonal of rectangle divides the rectangle into two equal triangles,
Therefore, area of the rectangle PLUM = 2× area of triangle PLM
By the mean proportional theorem,
In ΔPLM,
AP² = AM × AL
6² = AM × 8
AM =
AM = 4.5 units
Area of PLM = 
= 
= 
= 12.5 × 3
= 37.5 units²
Now area of rectangle PLUM = 2×37.5 = 75 units²
Therefore, area of the rectangle is 75.00 square units.
Answer:
b
Step-by-step explanation:
make a formula, its the easiest way to solve problems like these also its very efficent
Step-by-step explanation:



Equating,




Placing it,



Combine the two sets to form one giant set. If needed, toss out any duplicate values.
So,
A U B = {4,7,10,13,17, 3,5,7,9}
Toss out the duplicate item "7" and sort the values to get
A U B = {3,4,5,7,9,10,13,17}