A rectangle has perimeter 84 cm and length 37 cm . What is its width?
Let's let the width of the rectangle be w.
The perimeter of a rectangle is given by the formula P = 2(L + w), where L is the length and w is the width.
Given that the perimeter is 84 cm and the length is 37 cm, we can set up the equation:
84 = 2(37 + w)
Simplifying the equation, we have:
84 = 74 + 2w
Subtracting 74 from both sides, we get:
10 = 2w
Dividing both sides by 2, we find that the width of the rectangle is:
w = 5
So, the width of the rectangle is 5 cm.
To find the width of a rectangle, we need to use the perimeter and length values provided.
The formula for the perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
Given that the perimeter is 84 cm and the length is 37 cm, we can substitute these values into the formula:
84 = 2 * (37 + Width)
Now, we can solve the equation for the width:
84 = 74 + 2 * Width
2 * Width = 84 - 74
2 * Width = 10
Width = 10 / 2
Width = 5 cm
Therefore, the width of the rectangle is 5 cm.