Answer:
P (5 , 8)
Step-by-step explanation:
P (x,y) partition A (x₁ , y₁) B (x₂ , y₂) into ratio AM:MB = a:b = 2:1 ... a=2 , b=1
x = (bx₁ + ax₂) / (a+b)
= (1 * 3 + 2 * 6) / (2 + 1)
= 15/3
= 5
y = (by₁ + ay₂) / (a+b)
= (1 * 4 + 2 * 10) / (2 + 1)
= 24/3
= 8
P (5 , 8)
He will need 12 sq. inches of Paper for each rhombus.
Given: 6 inches tall and 4 inches wide.
so, Length of the diagonals are 6 and 4 inches respectively.
Refer to figure.
The two diagonals cuts the rhombus into four equal parts, so
Area of one rhombus = 4 x (area of 1 part of the rhombus)
Now,
Area of 1 part of the rhombus =
x 3 x 2
= 3 sq. inches
Area of one rhombus = 4 x 3 = 12 sq. inches
Hence, 12 sq. inches of Paper is needed for each rhombus.
Learn more about the "Finding the area of the rhombus" Here : brainly.com/question/10684261
#SPJ4
Answer:
15 I think
Step-by-step explanation:
Answer:
2np + p²
Step-by-step explanation:
The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².
Using FOIL (forward, outside, inside, last):
(n + p)(n+p) = n² + 2np + p²
Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.
n² + 2np + p² - n² = 2np + p²