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Finding the Area of a Rectangle. Objectives To calculate areas of rectangles To calculate areas of polygons made of rectangles. 1 cm. 1 cm. Area is the measure of how much space a shape takes up. We measure it in squares such as square centimeters or meters etc.
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Objectives • To calculate areas of rectangles • To calculate areas of polygons made of rectangles
1 cm 1 cm Area is the measure of how much space a shape takes up. We measure it in squares such as square centimeters or meters etc. This rectangle takes up 28 squares. It has an area of 28 square centimetres 28 cm2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
It could take a long time to cover shapes in squares. Luckily there is an quicker way. 7 cm 4 cm × = 28 cm2
Use this formulae to find the area of rectangles. length Width Area of a rectangle = length × width
5 cm 2 cm 3 cm 7 cm 7 m 7 m Can you find the areas of these rectangles? 15 cm2 14 cm2 49 m2
Can you think of a way to find the area of this shape? 5 cm 6 cm 7 cm 3 cm 12 cm
Split the shape into rectangles? 5 cm 6 cm 7 cm 3 cm 12 cm
Find the area of each rectangle? 5 cm 5 × 6 = 30 cm2 7 × 3 = 21 cm2 6 cm 7 cm 3 cm
Add the areas together to find the area of the complete shape? 30 + 21 = 51 cm2 30 cm2 21 cm2
2 cm 4 cm 11 cm 7 cm 5 cm Can you find the areas of these shapes? 8 + 35 = 43 cm2 6 m 8 cm2 18 m2 3 m 4 m 4 m2 35 cm2 1 m 4 m 18 + 4 = 22 m2
Here is a challenge can you work out the area of this shape with a hole in it? 2 cm 5 cm 5 cm 10 cm Clue: Take the area of the hole from the area of the whole! 50 cm2 – 10 cm2 = 40 cm2
Remember: Area of a rectangle = length × width length width Split more complicated shapes into rectangles and find the area of each rectangle then add them together. Over to you.