Kites
Question 1)
Draw a picture of a Kite
Question 2)
How would you describe what a kite is?
Question 3)
What makes it unique/different to other shapes?
Question 4)
What other shapes is a kite made up from?
Question 5)
Draw how the kite below can be related to a square
Question 6)
If each square on the grid is 1cm2 estimate to the best of your ability the area
of each kite and each rectangle from the previous question (question 5)
Kite 1 area
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Rectangle 1 area
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Kite 2 area
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Rectangle 2 area
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Question 7)
What do you notice about the area of each kite compared to the corresponding
rectangle?
Question 8)
What is the formula for finding the area of a rectangle?
Question 9)
What do you need to do to the formula for the area of a rectangle to find the
area of a kite?
There is one difference in the terminology we use for the formula for area of kites.
Instead of using length and width we use diagonal 1 and diagonal 2.
Question 10)
Write down the formula for the area of a kite in words
Question 11)
Write down the formula for the area of a kite using letters
Question 12)
On the kites below mark diagonal 1 and diagonal 2
Question 13)
Measure the dimensions of the kites from Question 12 and calculate the areas
of each
Question 14)
What type of triangles make up each kite?
Question 15)
Accurately draw 10 different kites making sure no two are the same. Calculate
the areas of each kite showing full working out
Extension Questions
If you have trouble with the following questions I would draw them first, then work out the
answers
Question 16*)
What is the length of diagonal 2 (in centimetres)?
Area= 9cm2
Diagonal 1 60mm
Question 17*)
If the area of a kite is 12cm2, what are the possible lengths of diagonal 1 and
diagonal 2? (hint: there is more than one answer for each diagonal)
Question 18*)
If diagonal 1 is 30mm and the area of the kite is 6cm2, what is the length of
diagonal 2?
Question 19*)
If the area of a kite is 36cm2 and diagonal 1 is twice the length of diagonal 2,
find diagonal 1 and diagonal 2 of the kite.
Question 20*)
The hexagon below can be split into 3 kites, find the area of the hexagon if
diagonal 1 is 6m and diagonal 2 is 10m
Question 21*)
A hexagon is split into 3 equal kites. The area of the hexagon is 120km 2 and the
length of diagonal 1 is 5km. What is the length of diagonal 2?