These 20 problems practice finding the area and perimeter of rectangles and squares, and finding a missing side. They match Common Core 4.MD.A.3. Start with counting squares and using the formulas.
The last six problems are real-world word problems about gardens, bedrooms, posters, patios, and a dog pen. Write the correct units, such as feet or square feet.
Grade 4 · Common Core State Standards: 4.MD.A.3
Exercise 1 – Count the squares
Count the unit squares to find the area of the rectangle.
5 columns and 3 rows of unit squares.
Exercise 2 – Area of a rectangle
A card is \(7\text{ in}\) long and \(3\text{ in}\) wide. Find its area.
Exercise 3 – Perimeter by adding
Find the perimeter of the rectangle by adding all four sides.
All four sides are labeled.
Exercise 4 – Perimeter formula
A rectangle is \(9\text{ yd}\) long and \(4\text{ yd}\) wide. Find its perimeter.
Exercise 5 – Area of a square
A square tile has sides of \(6\text{ in}\). Find its area.
Exercise 6 – Perimeter of a square
A square sandbox has sides of \(8\text{ ft}\). Find its perimeter.
Exercise 7 – Find the area
Find the area of the rectangle.
Length 12 ft, width 5 ft.
Exercise 8 – Find the perimeter
Find the perimeter of a rectangle that is \(12\text{ ft}\) long and \(5\text{ ft}\) wide.
Exercise 9 – Complete the table
Find the area and perimeter of each rectangle.
Length
Width
Area
Perimeter
10 in
4 in
?
?
9 in
6 in
?
?
11 in
2 in
?
?
Exercise 10 – Missing width
A rectangle has an area of \(48\text{ sq ft}\) and a length of \(8\text{ ft}\). Find the width.
The area and one side are known.
Exercise 11 – Missing length
A rectangle has an area of \(72\text{ sq in}\) and a width of \(9\text{ in}\). Find the length.
Exercise 12 – Missing side from perimeter
A rectangle has a perimeter of \(30\text{ in}\) and a length of \(9\text{ in}\). Find the width.
Exercise 13 – Same area, many shapes
A rectangle has an area of \(18\text{ sq units}\) and whole-number sides. List every possible pair of length and width. Find each perimeter. Which rectangle has the smallest perimeter?
Exercise 14 – Doubling a rectangle
A rectangle is \(5\text{ ft}\) by \(3\text{ ft}\). Find its area and perimeter. Then double both the length and the width, and find the new area and perimeter.
Exercise 15 – Garden fence
Maya’s garden is a rectangle \(14\text{ ft}\) long and \(9\text{ ft}\) wide. Fence costs $3 per foot. How many feet of fence does she need, and what is the total cost?
All four sides are labeled.
Exercise 16 – Bedroom carpet
Jamal’s bedroom floor is \(12\text{ ft}\) by \(10\text{ ft}\). Carpet costs $2 per square foot. How much does it cost to carpet the whole floor?
Exercise 17 – Fence for a garden plot
Sofia’s rectangular garden has an area of \(96\text{ sq ft}\) and a length of \(12\text{ ft}\). How much fence goes around it?
Exercise 18 – Poster board
Priya’s poster board is \(28\text{ in}\) by \(22\text{ in}\). She glues ribbon along the whole edge and covers the front with paper. How many inches of ribbon does she need, and how many square inches of paper?
Exercise 19 – Patio tiles
Ethan covers a \(15\text{ ft}\) by \(8\text{ ft}\) patio with square tiles that are 1 ft on each side. Tiles come in boxes of 20. How many boxes does he need?
The patio floor.
Exercise 20 – Dog pen
Diego has \(36\text{ ft}\) of fence for a rectangular dog pen. The length is \(10\text{ ft}\). Find the width, then the area of the pen.