Question
the perimeter of a rectangle is xcm. find its width in terms of x find the perimeters of the following shapes
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GPT 3.5
To find the width of the rectangle in terms of x, we need to know the formula for the perimeter of a rectangle. The formula for the perimeter of a rectangle is 2(length + width).
Given that the perimeter of the rectangle is x cm, we can set up the equation:
2(length + width) = x
Solving this equation for width, we get:
2(length) + 2(width) = x
2(width) = x - 2(length)
width = (x - 2(length)) / 2
Now, let's find the perimeters of the following shapes:
1. Triangle:
The perimeter of a triangle is the sum of the lengths of its three sides. Let's say the lengths of the sides of the triangle are a, b, and c. Then the perimeter P is:
P = a + b + c
2. Circle:
The perimeter of a circle is also known as the circumference. The formula for the circumference of a circle is:
C = 2πr
Where r is the radius of the circle.
3. Square:
The perimeter of a square is the sum of the lengths of all four sides. Let's say the length of each side of the square is s. Then the perimeter P of the square is:
P = 4s
Given that the perimeter of the rectangle is x cm, we can set up the equation:
2(length + width) = x
Solving this equation for width, we get:
2(length) + 2(width) = x
2(width) = x - 2(length)
width = (x - 2(length)) / 2
Now, let's find the perimeters of the following shapes:
1. Triangle:
The perimeter of a triangle is the sum of the lengths of its three sides. Let's say the lengths of the sides of the triangle are a, b, and c. Then the perimeter P is:
P = a + b + c
2. Circle:
The perimeter of a circle is also known as the circumference. The formula for the circumference of a circle is:
C = 2πr
Where r is the radius of the circle.
3. Square:
The perimeter of a square is the sum of the lengths of all four sides. Let's say the length of each side of the square is s. Then the perimeter P of the square is:
P = 4s
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