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Geometry Made Simple
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Geometry Made Simple
Help plan a small community garden in Aotearoa New Zealand. Answer each question and show working for calculations. Angles are measured in degrees.
Plan the garden
Use your knowledge of shapes, angles and measurement to solve the design problems.
1.A rectangular vegetable bed is 8 m long and 3.5 m wide. What is its area?
2.The garden has a square paved area with sides of 4.2 m. How much edging is needed to go all the way around it?
3.A triangular planting bed has two interior angles measuring 48° and 67°. Calculate the third angle.
4.The corner where two garden paths meet measures 125°. Is this an acute, right, obtuse or straight angle?
- Acute
- Right
- Obtuse
- Straight
5.Two straight garden paths cross. One of the angles at the crossing is 72°. What is the size of the angle directly opposite it? Explain the angle rule you used.
6.On a garden plan, 1 cm represents 2 m. A path is 6.5 cm long on the plan. What is its actual length?
7.A motif has a vertical line of symmetry. True or false: reflecting the motif across that line leaves its outline unchanged.
TrueFalse
8.A compost bin is shaped like a box with six rectangular faces. What is the geometric name for this 3D shape?
9.A rectangular garden section is 9 m long and 5 m wide. A 1 m-wide gate will be left unfenced. How many metres of fencing are needed?
10.Draw a quadrilateral planting bed with exactly one pair of parallel sides. Label the shape and mark the parallel sides.
2 printable pages
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