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:
5√3
Step-by-step explanation:
The <em>geometric mean</em> (GM) of two numbers x and y is the square root of their product.
Thus, the GM of x and y is √(xy).
The GM of 3√5 and 5√5
= √(3√5 × 5√5)
= √[3 × 5 × (√5)²]
= √(3 × 5 × 5)
= √(3 × 5²)
= 5√3
Example 2x + y =3
-2x -2x
——————————————
Y = 3 - 2x or y = -2x - 3