Level Up
Now that you can calculate the perimeter and area of squares and triangles, it’s time to use these calculations to see how much money you’ll earn with your lawn care business. Click each tab and calculate your earnings. Then check your answer.
You charge $0.20 per square foot to mow each lawn. For this particular square shaped lawn, the length of one side is 15 ft.
How much will you charge to mow this lawn?
$45
If you need help arriving at this answer, click the solution button.
Calculate the area of the lawn. |
Area of the lawn \(= s^2=(15\ \text{ft})^2 = 225\) square feet |
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You charge $0.20 per square foot. Use the area of the lawn and the price per square foot to calculate the amount you will charge. |
Total price you will charge \(= ( \frac{$0.20}{\text{square foot}})(225\ \text{square feet}) = $45\) |
A local community garden agreed to pay you $0.45 per square foot to pull the weeds from their triangular-shaped flower beds. The organization has four identical flower beds that are shaped like triangles. The base of each triangle is 6 feet and the height of each triangle is 5 feet.
How much money will you earn in total by pulling the weeds from these flower beds?
$27.00
If you need help arriving at this answer, click the solution button.
Calculate the area of a single flower bed. |
Area of a single flower bed \(= \frac{1}{2}bh = \frac{1}{2} (6\ \text{ft})(5\ \text{ft}) = 15\ \text{ft}^2\) |
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The organization has 4 flower beds. Use area of a single flower bed and the number of flower beds to calculate the total area of the flower beds. |
Total area of the flower beds \(= (4)(15\ \text{ft}^2 )=60\ \text{ft}^2\) |
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The organization will pay you $0.45 per square foot. Use the area of the flower beds and the price per square foot to calculate the amount you will earn. |
Total amount you will earn \(= (\frac{$0.45}{\text{square foot}})(60\ \text{square feet}) = $27.00\) |
Your neighbor wants you to mow her square shaped lawn and add mulch to two of her triangular shaped flower beds. One side of the lawn is 10 ft long. The height of each obtuse flower bed is 10 ft and the base of each bed is 5 ft. She’ll pay you a total of $1.00 per square foot for the entire job.
How much money will you earn?
$150
If you need help arriving at this answer, click the solution button.
Calculate the area of the lawn. |
Area of the lawn \(= s^2 = (10\ \text{ft})^2 = 100\ \text{ft}^2\) |
Calculate the area of a single flower bed. |
Area of one flower bed \(=\ \frac{1}{2}bh = \frac{1}{2}(10\ \text{ft})(5\ \text{ft}) = 25\ \text{ft}^2\) |
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The neighbor has 2 flower beds. Use area of a single flower bed and the number of flower beds to calculate the total area of the flower beds. |
Total area of both flower beds \(= (2)(25\ \text{ft}^2 ) = 50\ \text{ft}^2\) |
Calculate the area of the entire job by adding the total area of both flower beds to the total area of the lawn. |
Total area for the entire job \(= 100\ \text{ft}^2 + 50\ \text{ft}^2 = 150\ \text{ft}^2\) |
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The neighbor will pay you $1.00 per square foot. Use the total area of the entire job and the price per square foot to calculate the amount you will earn. |
Total money earned for the job \(= (\frac{$1.00}{\text{square foot}})(150\ \text{square feet}) = $150\) |
