3rd Grade Area Worksheets with Answers (Free PDF)
This 3rd grade area worksheet covers area (Common Core 3.MD.C.5, 3.MD.C.6, 3.MD.C.7), with a free PDF to print.
Key takeaway: This worksheet helps Grade 3 students practice finding area.
- Topic: Area (3rd grade)
- Content: 20 worksheet problems, from easy to challenging
- Standards: 3.MD.C.5, 3.MD.C.6, 3.MD.C.7
- Answers: On a separate page, so you can try every worksheet problem first
- Format: Free printable PDF, US Letter, black and white
This worksheet helps Grade 3 students practice finding area. First, children count unit squares and use sides to find the area of rectangles and squares. Then they write multiplication sentences for arrays and find a missing side.
The 16 problems also compare rectangles with the same sides in a different order and use the distributive property. Next, children split rectangles and L-shapes into parts and add the areas. Finally, they solve stories about a rug, a garden bed, and tiles for a wall. Plan about 30 minutes, and keep grid paper nearby.
These 20 problems practice finding area by counting unit squares, multiplying side lengths, and adding the areas of parts (Common Core 3.MD.C.5, 3.MD.C.6, and 3.MD.C.7). The first problems use pictures, the middle ones use missing sides and the distributive property, and the last six are word problems.
Show your work and write each answer in square units.
Grade 3 · Common Core State Standards: 3.MD.C.5, 3.MD.C.6, 3.MD.C.7
3rd grade area worksheet: worksheet problems 1 to 10
1 – Count unit squares
First, count the unit squares in the rectangle. Write its area.
2 – Staircase area
Next, find the area of the staircase. Each small square is 1 square unit.
3 – Square-inch tiles
Mei covers a card with square-inch tiles. She makes 2 rows of 9 tiles. Find the area of the card.
4 – Area from sides
Now, a rectangle is 13 feet long and 3 feet wide. Find its area.
5 – Labeled rectangle
Also, find the area of the rectangle.
6 – Square area
First, a square sticker has sides of 7 inches. Find its area.
7 – Array and multiplication
Next, write a multiplication sentence for the area of the array. Then find the area.
8 – Missing side
Then, a rectangle has an area of 36 square centimeters and a width of 4 centimeters. Find its length.
9 – Same area, new order
Now, compare the areas of a 6-by-9 rectangle and a 9-by-6 rectangle. Which is larger?
10 – Break apart a fact
Also, complete: \(8 \times 7 = (8 \times 5) + (8 \times \_\_)\). Then find the product.
Worksheet problems 11 and up
11 – Split rectangle
First, the top part is 4 feet tall and the bottom part is 2 feet tall. Find the area of each part, then the area of the whole rectangle.
12 – Distributive property
Next, find the value of \(5 \times (6 + 3)\) by writing it as the sum of two products.
13 – L-shaped figure
Then, the bottom part is 8 cm wide. Every part is 3 cm tall. Find the area of the figure.
14 – Rug area
Maya has a rug that is 8 feet long and 5 feet wide. How many square feet of floor does it cover?
15 – Garden bed
Also, a school garden bed is 11 yards long and 6 yards wide. Find its area.
16 – Tiles for a wall
Jamal covers a wall that is 9 feet wide and 4 feet tall with square tiles. Each tile is 1 foot on each side and costs $2. What is the total cost?
17 – Room with an alcove
Sofia drew the floor plan of her room. Find the total floor area.
18 – Poster width
Ethan’s poster has an area of 63 square inches. It is 7 inches wide. How tall is it?
Worksheet problem 19 and after
19 – Compare two rectangles
Diego draws a rectangle 12 units by 4 units. Aisha draws a square with sides of 7 units. Whose shape has the larger area, and by how much?
20 – Painting two walls
Liam paints 2 walls. Each wall is 10 feet long and 8 feet tall. What total area does he paint?
Key facts behind this 3rd grade area worksheet
- A unit square has sides 1 unit long and an area of 1 square unit.
- Rectangle area = length × width (rows times squares in each row).
- Area is always written in square units, such as square feet.
- Then, the distributive property splits a big rectangle into two small ones: 8 × 6 = (5 × 6) + (3 × 6).
- Find the area of an L-shape by cutting it into rectangles and adding.
Common mistakes with this 3rd grade area worksheet
- When writing area, students leave out the unit or write plain feet. For example, a floor of 5 by 3 feet has an area in square feet.
- When finding a missing side, students add. Instead, divide the area by the side you know, or ask what number multiplies to the area.
- For an L-shape, students use only one rectangle. Split the figure into two rectangles, find both areas, and add them.
Tips before you start the worksheet problems
- Draw a quick sketch for each word problem. Label the sides and write the multiplication sentence under it. Also, saying the steps aloud helps you spot a slip.
- When using the distributive property, split the larger side into friendly parts, such as 5 and 3. Then multiply each part and add.
- Teachers can ask students to find the area in two ways for an L-shape. Splitting it two ways should give the same total.
Download the 3rd grade area worksheet as a PDF with the button below and keep it with your notes.
3rd grade area worksheet: frequently asked questions
Does it matter which side is the length and which is the width?
No. Multiplication works in any order, so 4 by 7 and 7 by 4 give the same area. Turning a rectangle does not change how many squares cover it. This is called the commutative property. In other words, slow and careful work pays off here.
Why do we use square units for area?
Area counts how many unit squares cover a shape. Each square has sides of 1 unit, so its area is 1 square unit. A rectangle that needs 12 squares has an area of 12 square units.
How can the distributive property help find area?
It splits a large rectangle into two small ones. For example, 7 times 6 equals (5 times 6) plus (2 times 6). Find each small area and add. This makes hard facts easier. As a result, small mistakes are easier to catch.
All Grade 3 chapters: Grade 3 math.
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