The first rectangle has a length of 45 inches.
We know that the formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
Let's call the width of the first rectangle x inches.
Therefore, the perimeter of the first rectangle can be written as 2(45) + 2x = 90 + 2x.
We are given that the perimeter of the first rectangle is 156 inches, so we can write the following equation:
90 + 2x = 156.
Subtracting 90 from both sides, we get:
2x = 66.
Dividing both sides by 2, we have:
x = 33 inches.
So, the first rectangle has a width of 33 inches.
To find the dimensions of the second rectangle, we know that it has the same length (45 inches) and twice the width.
Therefore, the width of the second rectangle is 2 * 33 = 66 inches.
The perimeter of the second rectangle can be calculated as 2(45) + 2(66) = 90 + 132 = 222 inches.
Thus, the perimeter of the new rectangle is 222 inches.
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? 9
inch(es)
1 answer