The length of a rectangle is four meters less than twice its width. If the area of the rectangle is 96 m^2, what is the length and the width? (3 points)
An expression for the length of the rectangle in terms of the width would be: ______
The formula for the area of a rectangle is: ______
Using trial and error, if the area is 96 m^2, then the length and width are: _____
3i+5=3i+7
An expression for the length of the rectangle in terms of the width would be: 2w - 4
The formula for the area of a rectangle is: length × width
Using trial and error, if the area is 96 m^2, then the length and width are: length = 12 m and width = 8 m
Match the equation with its solution(s).(5 points)
3(2i+7)=61+21
3(2i+7) = 61 + 21
Multiply:
6i + 21 = 82
Subtract 21 from both sides:
6i = 61
Divide by 6:
i = 10.17
The solution is i = 10.17
3(2i+7)=6i+21
3(2i+7) = 6i + 21
Distribute:
6i + 21 = 6i + 21
Subtract 6i from both sides:
21 = 21
The equation is true for all values of i. There are infinitely many solutions.
3i+5=2i-7
3i + 5 = 2i - 7
Subtract 2i from both sides:
i + 5 = -7
Subtract 5 from both sides:
i = -12
The solution is i = -12.
3(2i-7)=15
3(2i - 7) = 15
Distribute:
6i - 21 = 15
Add 21 to both sides:
6i = 36
Divide by 6:
i = 6
The solution is i = 6.