INTRO

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When we’re asked to find the area of a quadrilateral, what we’re really looking for is the amount of space inside the boundaries or sides that connect to make the shape.

Let’s imagine we want to build a small field in a Minecraft world and need to figure out the amount of land (area) in a 3 × 5 field.

We can start with a strip of land that has $5$ blocks of grass.

CALCULATOR

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## Area of Quadrilaterals Calculator

What does your quadrilateral look like?

#### Step 1. Identify the length & width of the rectangle.

$l=$

$w=$

KEY STEPS

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## How to Find the Area of a Quadrilateral

### Shape:

### Step 1. Identify the length & width of the rectangle.

### Step 2. Multiply the length by the width.

$A=l×w$LESSON

— Area of Rectangles & Squares

## Area of Rectangles & Squares

The formula for the area of a rectangle is $A=l×w$, where $l$ is the length of the rectangle and $w$ is the width.

We can use the same formula for finding the area of a square.Since all the side lengths are equal in a square, $l=w=s$, we can also get the area of a square using $A=s_{2}$, where $s$ is the side of the square.

PRACTICE

— Area of Rectangles & Squares

## Practice: Area of Rectangles & Squares

Question 1 of 4: Find the area of this quadrilateral ⬇️

$4$

$3$

#### Step 1. Identify the length & width of the rectangle.

LESSON

— Area of Parallelograms

## Area of Parallelograms

The formula for the area of a parallelogram is $A=b×h$. Notice how it looks a lot like the formula for the area of a rectangle $A=l×w$.

That’s because a parallelogram can be rearranged to form a rectangle:

$A=b×h⟹A=l×w$The base of a parallelogram corresponds to the length of a rectangle, and the height of a parallelogram corresponds to the width of a rectangle.Let’s take a look at an example of how to solve for the area of a parallelogram.

PRACTICE

— Area of Parallelograms

## Practice: Area of Parallelograms

Question 1 of 4: Find the area of this quadrilateral ⬇️

$12$

$2$

$4$

#### Step 1. Identify the base & height of the parallelogram.

LESSON

— Area of Rhombuses & Kites

## Area of Rhombuses & Kites

The formula for the area of a parallelogram is $A=2p×q $.

It may not be obvious at first, but if we split a kite or rhombus into two identical pieces, we can rearrange them to form a parallelogram with a base equal to $2p $, and a height equal to $q$:

$A=2p×q =2p ×q⟹A=b×h$Let’s take a look at an example of how to solve for the area of a rhombus.

PRACTICE

— Area of Rhombuses & Kites

## Practice: Area of Rhombuses & Kites

Question 1 of 4: Find the area of this quadrilateral ⬇️

$4$

$3$

$2$

#### Step 1. Identify the diagonal/cross lengths of the rhombus.

LESSON

— Area of Trapezoids

## Area of Trapezoids

The formula for the area of a trapezoid is $A=2(b_{1}+b_{2})h $.

It may not be obvious at first, but if we have two identical trapezoids, we can rearrange them to form a parallelogram with a base equal to $b_{1}+b_{2}$, and a height equal to $h$:

$A=2(b_{1}+b_{2})h ⟹A=2×2(b_{1}+b_{2})h =b×h$

Let’s take a look at an example of how to solve for the area of a trapezoid.

PRACTICE

— Area of Trapezoids

## Practice: Area of Trapezoids

Question 1 of 4: Find the area of this quadrilateral ⬇️

$10$

$8$

$2$

$4$

#### Step 1. Identify the base lengths and height of the trapezoid.

CONCLUSION

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Incredible work, look at you go! Thanks for checking out this lesson ☺️🙏. Where to next?

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