## How to Find the Area of Squares, Rectangles, and Parallelograms

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### What is the Parallelogram’s Area?

A parallelogram’s area is the space **bounded** by the parallelogram in a provided 2-dimension space. As stated earlier, a parallelogram is a **particular** kind of **quadrilateral** having \(4\) sides, as well as the pair of **opposite** sides, are **parallel.** With a parallelogram, the opposite sides are an **equal length** and the opposite angles are also an equal measure. Because the rectangle and the parallelogram have **properties** that are similar, the rectangular’ s area equals the parallelogram’s area.

### Ways to Calculate a Parallelogram’s Area

**Step one:** Note down this formula: \(A \ = \ bh\). \(A\) stands for the area, while \(b\) stands for the parallelogram’s **length,** and \(h\) stands for the parallelogram’s **height.****Step two:** Find the parallelogram’s **base.** The base equals the length of the **bottom side** of a parallelogram.**Step three:** Find the parallelogram’s height. The height is the length a **perpendicular **line has to go from the bottom to the top of a parallelogram.**Step four: Multiply** the height and the base together.

### What is the Square’s Area?

Squares are closed **2-dimensional** shapes having \(4\) equal **sides** as well as \(4\) equal **angles.** The square’s \(4\) sides create the \(4\) angles at the vertices. The **total** of the full length of the sides of a square is the **perimeter,** as well as the full **space** the square occupies, is the square’s **area.** It’s a quadrilateral with these properties.

- Its
**opposite**sides are**parallel.** **All**\(4\)sides are the**same.****All**the angles are \(90°\).

The **formula** to determine the area of a square when the **sides** are provided is:**Area of a square** \(= \ Side \times Side \ = \ s^2\)

A square’s area may additionally be calculated via the assistance of the square’s **diagonal.** The formula utilized for finding a square’s area if the diagonal is provided is:**Area of a square using diagonals** \(= \ \frac{Diagonal^2}{2}\)

### What is the Rectangle’s area?

The area of a rectangle is calculated via the sides. Usually, a rectangle’s area equals the **product** of its length and width. The rectangle’s perimeter, though, equals the **total** of all its \(4\) sides. So, the rectangle’s area is described as the area **encompassed **by the perimeter. Rectangles are quadrilaterals whose opposite sides are **equal** and **parallel** to one another. Because rectangles have \(4\) sides, there are also \(4\) angles. All the rectangle’s angles equal \(90\) degrees; so, all the rectangle’s angles are **right** angles.

### Formula for Determining the Area of a Rectangle

A rectangle’s area is determined in units via **multiplying** the width (or **breadth**) by the rectangle’s **length.**

Area of a Rectangle \(A \ = \ l \times b\)

**Follow these steps to determine the area:**

**Step one:**Write down the**length**and**width**dimensions using provided data**Step two: Multiply**the values of the length and width**Step three:**Write down the solution in**square units**

### Exercises for Area of Squares, Rectangles, and Parallelograms

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