Answer: 18x^2 + 48x - 50
Step-by-step explanation: In order to determine the area of the rectangle not covered by the turtle pond, we shall calculate the area of the square pond and subtract it from the area of the rectangle.
The area of the square is given as
Area = L x B, where A and B are of equal measurement (sides of a square)
Area = 8 x 8
Area = 64 ft^2
Next we calculate the area of the rectangle which is given as
Area = L x B, where L = 6X + 2 and W = 3X + 7
Area = (6X + 2) (3X +7)
Area = 18X^2 + 42X + 6X + 14
Area = 18X^2 + 48X + 14
We can now subtract the area of the square from the area of the rectangle
That is Area of the shaded region
= 18X^2 48X + 14 - 64
= 18X^2 + 48X - 50
Therefore, the area of the shaded region = 18X^2 + 48X - 50
Answer:




Step-by-step explanation:
Given
See attachment
From the attachment, we have:


First, we need to calculate length LM,
Using Pythagoras theorem:



Collect Like Terms



Solving (a): 


Substitute values for MN and LN


Solving (b): 


Substitute values for LM and MN


Solving (c): 


Substitute values for LN and LM


Solving (d): 


Substitute values for LM and LN


Answer:
yes
Step-by-step explanation:
Hello! So for this question, all you have to do is add the numbers up to get the total cost. Groceries were $102.34 and the new shoes were $53.36. 102.34 + 53.36 = 155.7. Lorena spent $155.70 total.