Rectangle
A rectangle is a four-sided polygon with opposite sides that are parallel and equal in length
A rectangle is a four-sided polygon with opposite sides that are parallel and equal in length. It has four right angles, meaning each angle measures 90 degrees. The opposite sides of a rectangle are congruent, meaning they have the same length.
When it comes to finding the measurements of a rectangle, there are a few key terms that are often used:
1. Length (l): This refers to the longer dimension of the rectangle, measured from one end to the other.
2. Width (w): This refers to the shorter dimension of the rectangle, measured from one side to the other.
3. Perimeter (P): The perimeter of a rectangle is the total distance around the outside of the shape. To find the perimeter, you add up all four sides. The formula for the perimeter of a rectangle is P = 2l + 2w.
4. Area (A): The area of a rectangle is the amount of space inside the shape. To find the area, you multiply the length by the width. The formula for the area of a rectangle is A = l * w.
Let’s go through a couple of examples to see how these formulas are applied:
Example 1:
Given a rectangle with a length of 10 units and a width of 5 units, we can find the perimeter and area.
Perimeter = 2l + 2w
P = 2(10) + 2(5)
P = 20 + 10
P = 30 units
Area = l * w
A = 10 * 5
A = 50 square units
So, for this rectangle, the perimeter is 30 units and the area is 50 square units.
Example 2:
Suppose we have a rectangle with a perimeter of 24 units. We are given that the length is 8 units. We can find the width and area.
Perimeter = 2l + 2w
24 = 2(8) + 2w
24 = 16 + 2w
2w = 24 – 16
2w = 8
w = 8/2
w = 4 units
Now that we know the width is 4 units, we can find the area.
Area = l * w
A = 8 * 4
A = 32 square units
In this case, the width of the rectangle is 4 units and the area is 32 square units.
Remember, formulas and measurements for rectangles apply to any rectangle, regardless of size or orientation.
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