Find the width of a rectangle with a perimeter of 90 and a length of 15.
(1 point)
Responses
90
90
15
15
45
45
30
30
To find the width of a rectangle with a perimeter of 90 and a length of 15, we can use the formula for the perimeter of a rectangle which is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
Given that the length is 15, we substitute these values into the formula:
90 = 2(15) + 2W
Simplifying the equation:
90 = 30 + 2W
Subtracting 30 from both sides:
60 = 2W
Dividing both sides by 2:
30 = W
Therefore, the width of the rectangle is 30.
To find the width of a rectangle given its perimeter and length, we can use the formula for the perimeter of a rectangle, which is 2 times the length plus 2 times the width.
Perimeter = 2 * Length + 2 * Width
In this case, the perimeter is given as 90 and the length as 15. Substituting these values into the formula, we get:
90 = 2 * 15 + 2 * Width
Simplifying the equation:
90 = 30 + 2 * Width
Subtracting 30 from both sides:
60 = 2 * Width
Dividing both sides by 2:
Width = 30
Therefore, the width of the rectangle is 30.