Author:
Ellen Moore
Date Of Creation:
11 January 2021
Update Date:
29 June 2024
Content
A rectangle is a quadrilateral (two-dimensional shape) with four right angles. The parallel sides of the rectangle are equal. A rectangle with all sides equal is called a square. All squares are rectangles, but not all rectangles are squares. The perimeter of a figure is equal to the sum of the values of its sides. The area of a figure is equal to the product of its length and width.
Steps
Part 1 of 2: How to Calculate Area
- 1 Make sure that the task is given a rectangle (shown in the figure). Remember that a rectangle has opposite sides that are parallel and equal (top and bottom sides, and sides). Moreover, the sides are perpendicular (intersecting at 90 °) to the top and bottom sides.
- If all sides of the figure are equal, the problem is given a square. A square is a special case of a rectangle.
- If the shape given in the problem does not meet the given conditions, it is not a rectangle.
- 2 Write down the formula for calculating the area of a rectangle:S = l x w... In this formula S - square, l - the length of the rectangle, w - the width of the rectangle. Area units are square units of length, such as square meters, square centimeters, and so on.
- Area units are written as follows: m, cm, and so on.
- 3 Find the length and width of the rectangle. The length of a rectangle is its top or bottom.The width of a rectangle is one of its sides. Measure the sides of the rectangle with a ruler to find the length and width.
- For example, a rectangle is 5 cm long and 2 cm wide.
- 4 Plug the variable values into the formula and calculate the area. Plug the length and width values you just found into the formula, and then multiply them to find the area of the rectangle.
- In our example: S = l x w = 5 x 2 = 10 cm.
Part 2 of 2: How to Calculate Perimeter
- 1 Make sure that the task is given a rectangle (shown in the figure). Remember that a rectangle has opposite sides that are parallel and equal (top and bottom sides, and sides). Moreover, the sides are perpendicular (intersecting at 90 °) to the top and bottom sides.
- If all sides of the figure are equal, the problem is given a square. A square is a special case of a rectangle.
- If the shape given in the problem does not meet the given conditions, it is not a rectangle.
- 2 Write down the formula for calculating the perimeter of a rectangle:P = 2 (l + w)... In this formula R - perimeter, l - the length of the rectangle, w - the width of the rectangle. Sometimes this formula is written like this: P = 2l + 2w (these formulas are identical to each other, but their form of notation is different).
- Perimeter units are length units such as meters, centimeters, and so on.
- 3 Find the length and width of the rectangle. The length of a rectangle is its top or bottom. The width of a rectangle is one of its sides. Measure the sides of the rectangle with a ruler to find the length and width.
- For example, a rectangle is 5 cm long and 2 cm wide.
- 4 Plug in the variable values into the formula and calculate the perimeter. Plug in the length and width values you just found into the formula. Perimeter can be calculated in two ways, depending on the formula you choose. If you chose the formula P = 2 (l + w), add the length and width values, and then multiply the sum by 2. If you chose the formula P = 2l + 2w, multiply the length by 2, then multiply the width by 2, and then add the resulting values.
- In our example: P = 2 (l + w) = 2 (2 + 5) = 2 (7) = 14 cm.
- In our example: P = 2l + 2w = (2 x 2) + (2 x 5) = 4 + 10 = 14 cm.
What do you need
- Paper
- Pen or pencil
- Ruler to measure sides