Find the width of a rectangle with a perimeter of 90 and a length of 15. Draw and label the rectangle first to set up your problem.
(1 point)
Responses
90
90
15
15
45
45
30
The width of the rectangle can be found by subtracting the length from the perimeter, and then dividing by 2.
Perimeter = 2(length + width)
90 = 2(15 + width)
90 = 30 + 2w
2w = 90 - 30
2w = 60
w = 60/2
w = 30
Therefore, the width of the rectangle is 30.
Here is a representation of the rectangle:
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To find the width of the rectangle, we can use the formula for the perimeter of a rectangle:
Perimeter = 2*(length + width)
Given that the length of the rectangle is 15 and the perimeter is 90, we can substitute these values into the formula:
90 = 2*(15 + width)
Now, let's solve for the width:
Divide both sides of the equation by 2:
45 = 15 + width
Subtract 15 from both sides of the equation:
45 - 15 = width
30 = width
So, the width of the rectangle is 30.
To find the width of a rectangle with a perimeter of 90 and a length of 15, we can start by drawing a rectangle and labeling its length and width.
Let's label the length of the rectangle as 15. We can draw a horizontal line to represent the length of 15 units.
Now, since we know that the perimeter of a rectangle is the sum of all its sides, we can set up an equation to solve for the width. The formula for the perimeter of a rectangle is:
Perimeter = 2 * (length + width)
Given that the perimeter is 90 and the length is 15, we can substitute these values into the equation:
90 = 2 * (15 + width)
Now we can solve for the width by simplifying the equation:
90 = 30 + 2 * width
Subtract 30 from both sides:
60 = 2 * width
Now divide both sides by 2:
width = 60 / 2
Simplifying further:
width = 30
So the width of the rectangle is 30.