8. The perimeter of a rectangle is 213cm.
What is the length when the width is 49 cm?
A. 43 cm B. 164 cm C. 57,5 cm
To find the length of the rectangle, we can use the formula for the perimeter of a rectangle: P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
Given that the perimeter of the rectangle is 213 cm and the width is 49 cm, we can substitute these values into the formula:
213 = 2l + 2(49)
Simplifying the equation, we have:
213 = 2l + 98
Subtracting 98 from both sides of the equation:
115 = 2l
Dividing both sides of the equation by 2:
l = 57.5
Therefore, the length of the rectangle when the width is 49 cm is 57.5 cm.
The answer is C) 57.5 cm.
To find the length of the rectangle, we can use the formula for the perimeter of a rectangle:
Perimeter = 2 * (Length + Width)
Given that the perimeter is 213 cm and the width is 49 cm, we can substitute the values into the formula and solve for the length:
213 = 2 * (Length + 49)
Divide both sides of the equation by 2 to isolate the parentheses on the right side:
106.5 = Length + 49
Subtract 49 from both sides:
Length = 106.5 - 49
Length = 57.5 cm
Therefore, the length of the rectangle when the width is 49 cm is 57.5 cm.
C. 57.5 cm