Calculate the perimeter of the plot of land pictured on the following site plan:
All measurements are given in metres.
An outline of a block of land is shown. Find the perimeter in metres.
An outline of a block of land is shown.
Find the length of the side labelled x\text{ m}.
Find the perimeter of the block of land in metres.
Consider the aerial photo of a block of land. All measurements are in metres.
Calculate the length of the side marked x to the nearest metre.
Calculate the total perimeter of the block, in metres.
The local council is combining three suburbs into one.
Find the area of Calcone in square kilometres.
Find the area of Aritwo in square kilometres.
Find the area of Mathree in square kilometres.
Hence calculate the area of the new combined suburb.
This diagram shows the outline of a construction site.
Find the area of the construction site in square metres.
During a storm, 0.21\text{ m} of rain falls on the construction site and needs to be swept out by the builders. What volume of water do the builders need to remove?
The outline of a block of land is shown.
Find the area of the block in square metres.
During a heavy storm, 92\text{ mm} of rain fell over the block of land. What volume of water landed on the property in cubic metres?
The outline of a paddy field used to grow rice is shown.
Find the area of the rice paddy in square metres.
Throughout the monsoon season, the rice paddy receives 21\text{ cm} of rain. What volume of water, in cubic metres, has fallen on the rice paddy?
This image shows the boundaries of a field that a farmer uses to grow carrots. During a drought, the carrot crops are at risk of failing and will need 40\,000\text{ m}^3 of water to survive.
What depth of rainfall, rounded to the nearest centimetre, is needed for the crops to survive?
Consider the following section of a street map:
We want to calculate the perimeter of the block of land shaded in the diagram that is occupied by 15 Algebra Road and 150-152 Rhombus Road. Determine which of the following diagrams provides the most reasonable estimate for the lengths of the sides based on the scale provided:
Hence, calculate the perimeter of the block of land, in metres.
The given diagram shows a park in the centre of a neighbourhood, where each square of the grid has a side length of 25 \text{ m}. A jogger runs along the perimeter of the park each morning.
What is the distance of one lap of the park in metres?
Calculate the area of the park. Give your answer in square metres.
A map of a town has been drawn to scale.
Find the area of the rectangular park in square metres.
A floor plan for a house is given.
Find the area of the kitchen in square metres.
Consider the given radial survey of a block of land.
In the survey, B is directly north of A.
From the radial survey provided, determine whether each of the following diagrams best describes the block of land.
Calculate the length of AB to the nearest metre.
Hence calculate the area of the block of land in square metres.
Consider the given radial survey of a block of land.
Find the area of the block of land in square metres to the nearest whole number.
109\text{ mm} of rain falls during the month of February. What volume of water lands on this property during that time? Round your answer in cubic metres to two decimal places.
The following site plan shows a plot of land. Some basic measurements are shown on the site plan in metres.
Use one application of the trapezoidal rule to approximate the area of the land in square metres.
The surveyor makes another measurement down the centre of the property as shown by the dotted line. This distance is measured to be 24 \text{ m}. Use two applications of the trapezoidal rule to approximate the area of the land in square metres.
Which approximation do you think is more accurate, part (a) or part (b)? Explain your answer.
The following farm has straight boundaries on the east, west and south borders and follows a creek at the north. The farm has been divided into two sections of equal width.
Find the approximate area of the farm by using two applications of the trapezoidal. Round your answer correct to the nearest square metre.
If 11.3 \text{ mm} of rain falls on the farm, what volume of water needs to be absorbed by the soil? Round your answer correct to the nearest cubic metre.
A surveyor provided the following diagram with measurements for a property she was mapping out.
Using three applications of the trapezoidal rule, find the approximate area of the property. Round the area to the nearest square metre
A drainage system needs to be built to be able to handle at most 11.8 \text{ cm} of rainfall on any given day. What maximum volume of water will pass through the drainage system? Round your answer to the nearest cubic metre.
