Elena cuts out a rectangle that has a perimeter of 156 inches and a length of 45 inches. She cuts out another rectangle that is the same length and twice as wide.
What is the perimeter of the new rectangle?
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inch(es)
The perimeter of the new rectangle can be found by adding up the lengths of all four sides.
Since the length is the same as the first rectangle, it is still 45 inches.
The width of the new rectangle is twice as wide as the width of the first rectangle, which means it is 2*45 = 90 inches.
Now, to find the perimeter, we add up all four sides:
45 + 45 + 90 + 90 = 270 inches
So, the perimeter of the new rectangle is 270 inches.
To find the perimeter of the new rectangle, we need to know the dimensions of the new rectangle.
Given that the first rectangle has a length of 45 inches, we know that the width of the second rectangle will be twice the width of the first rectangle.
Let's denote the width of the first rectangle as w, and the width of the second rectangle as 2w.
Since the perimeter of the first rectangle is 156 inches, we can write the equation:
Perimeter = 2 * (Length + Width)
156 = 2 * (45 + w)
Now, let's solve the equation for w:
156 = 90 + 2w
2w = 156 - 90
2w = 66
Dividing both sides by 2:
w = 33
So, the width of the first rectangle is 33 inches, and the width of the second rectangle is twice that, which is 66 inches.
Now, we can calculate the perimeter of the new rectangle:
Perimeter = 2 * (Length + Width)
Perimeter = 2 * (45 + 66)
Perimeter = 2 * 111
Perimeter = 222 inches
Therefore, the perimeter of the new rectangle is 222 inches.
To find the perimeter of the new rectangle, we need to calculate the sum of the lengths of all four sides.
The given length of the new rectangle is 45 inches. Since the new rectangle is twice as wide as the first rectangle, its width would be 2 times the width of the first rectangle.
To calculate the width of the first rectangle, we can use the formula for the perimeter of a rectangle:
Perimeter = 2 * (Length + Width)
Given that the perimeter of the first rectangle is 156 inches and the length is 45 inches, we can rearrange the formula to solve for the width:
156 = 2 * (45 + Width)
Dividing both sides of the equation by 2:
78 = 45 + Width
Subtracting 45 from both sides:
Width = 78 - 45
Width = 33 inches
Therefore, the width of the new rectangle is 2 * 33 = 66 inches.
Now we can calculate the perimeter of the new rectangle using the formula:
Perimeter = 2 * (Length + Width)
Perimeter = 2 * (45 + 66)
Perimeter = 2 * 111
Perimeter = 222 inches
So, the perimeter of the new rectangle is 222 inches.