Answer:
Depends on answer choice given.
[tex]l^2-2l-168\\or\\169=(l+1)^2\\or\\ l=12, w=10[/tex]
Step-by-step explanation:
To find the area of a rectangle, use the formula A=l*w. Here the area is 168, the length is l and the w=l-2.
[tex]A=l*w\\168= l*(l-2)\\168=l^2-2l\\0=l^2-2l-168[/tex]
This is the area formula. It can be manipulated and solved by completing the square as shown below:
[tex]168+1=l^2-2l +1\\169 = (l+1)^2\\13=(l+1)\\12=l[/tex]
This means the width is w = 12-2 = 10
The length is 12 and the width is 10.
Answer:
L² + 2L - 168 = 0 is the equation that can be used to get the length of the rectangle.
Step-by-step explanation:
Let the length of the rectangle is L and width is W.
Now rectangle's length is 2 meters shorter than its length.
So the equation will be
L = W - 2------(1)
Area of the rectangle is 168 meters²
A = Length × Width
168 = L× W
168 = L× (L + 2) [ From equation 1]
168 = L² + 2L
L² + 2L - 168 = 0
Therefore, L² + 2L - 168 = 0 is the equation that can be used to find the length of the rectangle.
