10.03 Units of area
Consider the following units of measure for area:
-
Hectares
-
Square centimetres
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Square metres
Square kilometres
Choose the most appropriate unit of measure for the following areas:
Postage stamp
Bathroom wall
Australia
Matchbox
Exercise book
Street
School playground
Pencil case
Japan
Cabinet
City
Television
Kitchen
Farm
Classroom
Netball court
Table
National park
Door
Convert the following to the unit indicated:
3\text{ m}^{2} to square centimetres
7\text{ m}^{2} to square centimetres
0.56 \text{ km}^{2} to square metres
810 \text{ mm}^{2} to square centimetres
34\,000 \text{ mm}^{2} to square metres
790\,000\,000\text{ cm}^{2} to square kilometres
6 \text{ ha} to square metres
10.4 \text{ ha} to square metres
20\,000 \text{ m}^{2} to hectares
54\,800 \text{ m}^{2} to hectares
Find the area of a square of side 290 \text{ cm}, in square metres.
A park has an area measuring 19 acres. Given that 1 acre is approximately 4000 \text{ m}^2, find the area of the park in square metres.
Rectangular farms around Australia were measured and their dimensions, in metres, are recorded in the following table:
Find the area of each farm in square metres.
Which farms have an area of more than 1 \text{ ha}?
Which farms have an area of less than 1 \text{ ha}?
Which farm has an area of exactly 1 \text{ ha}?
| \text{Farm} | \text{Length, m} | \text{Width, m} | \text{Area, m}^2 |
|---|---|---|---|
| 1 | 200 | 100 | |
| 2 | 350 | 21 | |
| 3 | 100 | 24 | |
| 4 | 400 | 40 | |
| 5 | 100 | 100 |
A property covers an area of 4.5 \text{ ha}. Given that 1 \text{ ha} is 10\,000 \text{ m}^2, calculate the following:
The area of the property in square metres.
The area of the property in acres, given that 1 acre is approximately 4000 \text{ m}^2.
A large cattle station covers an area of 320 acres. Given that 1 acre is approximately 0.4 \text{ ha}, and 1 \text{ ha} is 10\,000 \text{ m}^2, calculate the following:
The area of the cattle station in hectares.
The area of the cattle station in square kilometres.
A farm covers an area of 51\,000 \text{ m}^2. Given that 1 \text{ ha} is 10\,000 \text{ m}^2, and 1 acre is approximately 4000 \text{ m}^2, calculate the following:
The area of the farm in hectares.
The area of the farm in acres. Round your answer to two decimal places.
Bob owns a paddock with an area of 290 acres. He wants to advertise his eggs as free range, with no more than 400 chickens per hectare. Given that 1 acre is approximately 0.4 \text{ ha}, find the largest amount of chickens that Bob can keep in his paddock.
A farm covers an area measuring 340 acres. Given that 1 acre is approximately 0.4 \text{ ha}, and 1 \text{ ha} is 10\,000 \text{ m}^2, calculate the following:
The area of the farm in hectares.
The area of the farm in square metres.
American football is played on a field with an area of 12\,000 \text{ yd}^2.
Given that 1 \text{ yd}^2 is approximately 0.836\text{ m}^2, find the area of an American football field in square metres.
The MCG oval has an area of 17\,700\text{ m}^2. How much smaller than the MCG oval is an American football field? Give your answer in square metres.
Manhattan, the most densely populated borough of New York City, has an area of 22.8\text{ mi}^2. If 1\text{ mi}^2 is approximately 2.6 \text{ km}^2, how large is Manhattan in square kilometres?
The state of California is roughly 164\,000 \text { mi}^2 in area. Given that 1 \text { mi}^2 is approximately 2.6 \text{ km}^2:
Find the area of California in square kilometres.
The state of New South Wales has an area of approximately 809\,000 \text{ km}^2. How much larger is New South Wales than California?
An official NBA court covers 4700 \text{ ft}^2 in area. Given that 1 \text{ m}^2 is approximately 10.8 \text{ ft}^2, find the area of an official basketball court in square metres. Round your answer to three decimal places.