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Charlotte has drawn a shape with an area of 12 square units.
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Which two shapes have an area that is different from Charlotte’s shape?
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Charlotte has drawn this shape.
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And we’re told her shape has an area of 12 square units.
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So Charlotte’s shape covers 12 squares on the grid.
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This is how much space her shape takes up.
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We’re shown another three shapes: shape one, shape two, and shape three.
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We have to choose the two shapes that have an area that is different from Charlotte’s shape.
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In other words, we have to find two shapes that do not have an area of 12 square units.
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To find the area of each shape, we just need to count the number of square units it covers.
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Let’s start with shape one.
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Here’s two squares, and another three makes five squares.
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Five and two more is seven, and one more makes eight.
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Now we need to count the triangles.
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Each of these triangles is half a square.
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So if we put two halves together, we’ll make one whole square.
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So if we put these two halves together, we’ll have nine squares.
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These two halves make another whole square, which makes 10.
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Two more halves makes 11 squares.
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And we’ve got a half left over.
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So the area of shape one is 11 and a half square units.
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We know that Charlotte’s shape has an area of 12 square units.
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So we know that shape one has an area which is different to Charlotte’s shape.
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Now we just need to find our second shape.
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What’s the area of shape two?
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Let’s count the number of squares.
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One plus three makes four, five, six, seven.
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Two more than seven is nine.
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Another two makes 11.
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12, 13, 14.
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So the area of shape two is 14 square units.
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This is the second shape that has an area different from Charlotte’s shape, because the area of Charlotte’s shape is 12 square units.
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The two shapes that have an area different from Charlotte’s shape are shape one and shape two.