Answer: The area of ABC is 56 m².
Explanation:
It is given that in △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP.
Since point P divides the line AB in 1:3, therefore the area of triangle APC and BPC is also in ratio 1:3. To prove this draw a perpendicular h on AB from C.
Since the area of BPC is 
th part of total area, therefore area of APC is 
th part of total area.
The point M is the midpoint of CP, therefore the area of BMP and BMC is equal by midpoint theorem.
Area of BPC is,
Area of APC is,
Area of ABC is,
Therefore, the area of ABC is 56 m².
Answer: the chairs alone would cost $358.36, and since you would already know how much the table costs you would just add it together to get $958.35
Step-by-step explanation:
Rectangles that are 5×20, 6×12, or 8×8 will satisfy your criteria. The sum of the areas of those is 236 units².
_____
20×5 and 12×6 rectangles are also "cool", but their areas are not different from those already counted.
X to the power of 8
When dividing powers, you subtract the "small numbers". When multiplying, you add them. 3-(-5) = 8
Hope it helps!
The formula for multiplying exponents are such below.
(b^m)^n = b^mn
b^m/b^n=b^(m-n)
b^m x b^n=b^(m+n)
