Comparing Areas

**Area **is the amount of space that an object or shape covers.

Let's compare the area of these two shapes.

These two shapes cover some squares on the grid.

Each square that they cover is called a **square unit**.

Let's say that each square unit is **1 square foot **or **1 ft²**.

Now, which shape has a larger area?

👉 First,** know the area of each shape**.

Another way to find the area is tocount the number of squares that they cover.

**Shape A **occupies 25 square units. Its area is **25 ft²**.

**Shape B **covers 35 square units. Its area is **35 ft²**.

Another way to find the area of a rectangle is tomultiplyitslengthtimes itswidth.

For **rectangles,** this is how we find the area:

Shape B is a rectangle. Its 7 units tall, and 5 units wide.

7x5=35

✅ Shape B's area is **35 ft²**.

That's the same area we got when counted the squares one at a time. 😃

Now let's try to find the area of the other shape using multiplication.

This shape is a square! It has 4 equal sides.

To find the **area **of a square, just **multiply** the length of any side by the length of any other side.

Let's find the area of Shape A using multiplication.

5x5=25

That's same answer we got from counting squares!

✅ Shape A's area is **25 ft²**.

👉 Now,** compare the areas**.

- The area of Shape A is 25 ft².

- The area of Shape B is 35 ft².

35 square feet is **greater than **25 ft².

✅ So **Shape B ****has a bigger area**** **than Shape A.

Which piece of wood has a smaller area?

**Tip**: Note that the lengths are all measured in **inches**.

So our unit of area for these pieces of wood is **square inches**. 😃

👉 To** compare** areas, start by** finding the area of each piece of wood**.

👉 Then** compare and see** which wood has a smaller area.

- The area of the light brown piece of wood is 40 in².

- The area of the dark brown piece of wood is 66 in².

40 is smaller than 66.

✅ **The light brown piece of wood ****has a smaller area**** **than the dark brown piece of wood.

Now, you can move on to practice. 💪

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