Identify the error below and make a correction,
1 answer:
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Answer: (3,2)
Step-by-step explanation: <u>Diagonal</u> is a line connecting two opposite points of a form. In parallelograms, there two diagonals and they bisect each other, i.e., the point where the diagonals meet divide them into two segments with the same measure. In short, diagonals meet at their midpoint.
The way to determine midpoint is given by
(x,y) =
(x,y) =
(x,y) = (3,2)
The coordinates where diagonals of parallelogram GHJK intersect are (3,2).
Answer
Find out the original side length of the square .
To prove
Let us assume that the original length of the square be x.
Formula
As given
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other.
Length becomes = x + 8
Breadth becomes = x -3
The area of the resulting rectangle is 126 in²
Put in the formula
(x + 8) × (x - 3) = 126
x² -3x + 8x -24 = 126
x ²+ 5x = 126 +24
x² + 5x - 150 = 0
x² + 15x - 10x - 150 = 0
x (x + 15) -10 (x +15) =0
(x + 15)(x -10) =0
Thus
x = -15 , 10
As x = -15 (Neglected this value because the side of the square cannot be negative.)
Therefore x = 10 inches be the original side of the square.