Assessing Maths Assignment
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Assessing Maths Assignment
Landscaping a Garden
I've been asked me to cost his landscaping project for him using the prices quoted by a local supplier, and to give him a full breakdown of the calculations required and how I arrived at the final cost.
Plan
I plan to do this firstly by breaking up the garden plan into 5 sections.
1. Decking and border.
2. Flowerbed and crazy paving
3. Fish pond, safety fence, bridge and rail
4. Perimeter fence
5. Grass.
Decking and Border
The decking area consists of two right angle triangle. The two edges around the decking are equal in length. I need to work out the length of the edges and the area of the decking, how much materials required and cost.
In the 1st triangle marked A, I need to work out the length the opposite side of the triangle with the angle 69º. I will do this by using trigonometry tan equation.
Tan ɵ =
Tan 69 =
If I subtract 4m from the above, this will give me the length of ½ the border as each side of the border is equal.
I will then work out the base of the 2nd triangle marked B using Pythagoras theorem (the square of the hyp) = (the sum of the other 2 sides).
hyp² = x² + 4²
I will then work out the area of the two triangles with the equation
A = ½ x base x perpendicular height
A = ½ ͯ b ͯ h
By adding the two areas of the triangle together I will get the total area of the two triangles.
Using the total area of the decking I will then work out how many m² required, and then calculate the price at £25.00 + VAT per m².
Using the length of the border I will work out how many strips required at 2m strips and calculate the price at £10.00 per 2m strips.
Finally by adding the cost of the border and the decking will get the total cost of the decking area.
Flowerbed and Crazy Paving
The flowerbed is a semi-circle positioned along an 8m side, surrounded by a 0.5m wide crazy paving and filled with bulbs.
1st I will decide what size of
Assessing Maths Assignment
Landscaping a Garden
I've been asked me to cost his landscaping project for him using the prices quoted by a local supplier, and to give him a full breakdown of the calculations required and how I arrived at the final cost.
Plan
I plan to do this firstly by breaking up the garden plan into 5 sections.
1. Decking and border.
2. Flowerbed and crazy paving
3. Fish pond, safety fence, bridge and rail
4. Perimeter fence
5. Grass.
Decking and Border
The decking area consists of two right angle triangle. The two edges around the decking are equal in length. I need to work out the length of the edges and the area of the decking, how much materials required and cost.
In the 1st triangle marked A, I need to work out the length the opposite side of the triangle with the angle 69º. I will do this by using trigonometry tan equation.
Tan ɵ =
Tan 69 =
If I subtract 4m from the above, this will give me the length of ½ the border as each side of the border is equal.
I will then work out the base of the 2nd triangle marked B using Pythagoras theorem (the square of the hyp) = (the sum of the other 2 sides).
hyp² = x² + 4²
I will then work out the area of the two triangles with the equation
A = ½ x base x perpendicular height
A = ½ ͯ b ͯ h
By adding the two areas of the triangle together I will get the total area of the two triangles.
Using the total area of the decking I will then work out how many m² required, and then calculate the price at £25.00 + VAT per m².
Using the length of the border I will work out how many strips required at 2m strips and calculate the price at £10.00 per 2m strips.
Finally by adding the cost of the border and the decking will get the total cost of the decking area.
Flowerbed and Crazy Paving
The flowerbed is a semi-circle positioned along an 8m side, surrounded by a 0.5m wide crazy paving and filled with bulbs.
1st I will decide what size of