Answer:
A = 187.5L - L^2
So,
g(l) = 187.5l - l^2
Step-by-step explanation:
The perimeter of a rectangle is given by:
P = 2(L + B)
Where P = perimeter
L = Length
B = Width
Making B the subject of formula, we have;
B = P/2 - L ......1
The area of a rectangle is:
A = L × B ........2
Substituting equation 1 to 2.
A = L × (P/2 - L)
A = LP/2 - L^2 .......3
Given that the perimeter P = 375 inches
A = L(375)/2 - L^2
A = 187.5L - L^2
So,
g(l) = 187.5l - l^2
Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:
30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.
Remaining length of board = 72 - 59.25 = 12.75 inches.
Therefore, there will be 12.75 inches remaining of the board.
Answer:
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Answer: ABCD is a parallelogram.
Step-by-step explanation:
First we plot these point on a graph as given in attachment.
From the attachment we can observe that AD || BC || x-axis .
also, AB ||CD, that will make ABCD a parallelogram , but to confirm we check the property of parallelogram "diagonals bisect each other" , i.e . "Mid point of both diagonals are equal".
Mid point of AC= 
Mid point of BD= 
Thus, Mid point of AC=Mid point of BD
i.e. diagonals bisect each other.
That means ABCD is a parallelogram.
