10.03 Area of rectangles and squares
In the following diagrams, each grid square represents 1 square unit. Find the area of the following shapes by counting the number of grid squares it covers:
The area of the shape shown was measured using a centimetre grid.
What unit should we use to describe its area?
For each of the following pairs of shapes:
Find the area of Shape A.
Find the area of Shape B.
State which shape is the smallest.
For each of the following pairs of shapes:
Find the area of Shape A.
Find the area of Shape B.
State which shape is the largest.
Order the three shapes from smallest to largest.
Consider the two overlapping squares shown:
State which square is the largest.
For each of the following:
Find the length and width of the rectangle.
Find the area of the rectangle.
Find the area of the following rectangles:
Find the area of the following squares:
Find the area of the following:
A square whose side is 7\text{ cm}.
A rectangle whose length is 7 \text{ cm} and width is 3\text{ cm}.
A rectangle whose length is 12\text{ cm} and width is 5\text{ cm}.
A square has a perimeter of 32\text{ cm}.
Find the side length of the square.
Find the area of the square.
For each of the following rectangles:
Find the perimeter.
Find the area.
Find the length of the missing side in the following rectangles:
Find the side length of the following square:
Find the length of the missing side in the following rectangles:
A rectangle that has an area of 36\text{ m}^2 and a width of 4\text{ m}.
A rectangle that has an area of 18\text{ m}^2 and a length of 9\text{ m}.
The given table shows the areas of some Asian countries:
Which country is smaller in area than Malaysia?
Which country is nearly four times the size of Thailand?
Which country is larger than Japan but smaller than Indonesia?
| \text{Country} | \text{Area (km}^2\text{)} |
|---|---|
| \text{Thailand} | 514\,000 |
| \text{Japan} | 377\,835 |
| \text{Indonesia} | 1\,904\,569 |
| \text{Malaysia} | 329\,750 |
| \text{Sri Lanka} | 65\,610 |
The given table shows the areas of the Australian states:
Which state is the largest?
Which state is the smallest?
Which state is about the same size as New South Wales and South Australia combined?
Which state is about a quarter of the size of South Australia?
| \text{State} | \text{Area (km}^2) |
|---|---|
| \text{Western Australia} | 2\,529\,875 |
| \text{New South Wales} | 800\,642 |
| \text{Queensland} | 1\,730\,648 |
| \text{Tasmania} | 68\,102 |
| \text{Victoria} | 227\,416 |
| \text{South Australia} | 983\,482 |
A rectangular driveway is 5\text{ m} long and 3\text{ m} wide. Find the area of the driveway.
A basketball court is 29\text{ m} long and 15\text{ m} wide. Find the area of the basketball court.
A rugby field is 100\text{ m} long and 70\text{ m} wide. Find the area of the rugby field.
A rectangular park has an area of 40\text{ m}^2. If the park is 5\text{ m} wide, find its length.
Homer's dining table is 7\text{ m}^2. He buys a tablecloth that covers a rectangular area that is 1.9\text{ m} wide and 3\text{ m} long.
Find the area of the tablecloth.
The tablecloth is too small, how much larger does the tablecloth need to be to cover Homer’s table?
Gwen is digging a rectangular garden bed to plant some new hedging.
If the garden bed is 0.5\text{ m} wide and 6\text{ m} long, find the total area of the garden bed.
Each hedge plant fills an area that is the same as 1 square metre. How many hedge plants are needed to fill Gwen’s garden bed?
A kitchen floor is tiled with the tiles shown in the picture. If 50 tiles are needed to tile the floor, find the total area of the floor.
Dave made a square mosaic that has a side length of 2\text{ m}. Dave decided to add a border to his mosaic, and now it has a side length of 2.3\text{ m}. By how much has the area of the mosaic increased?
A farmer wants to cover a rectangular section of roofing that measures 6\dfrac {1}{2} \text{ m} by 9\dfrac {1}{2} \text{ m} with solar panels. Having received quotes from various solar panel suppliers, she estimates that the panels will cost \$300 per square metre to install. Calculate the estimated cost of covering the section of roofing with solar panels.