As part of your work on shapes in KS3 Maths, you'll be very familiar with both perimeter and area. The perimeter is the total distance around the outside of a two-dimensional shape. The area is the amount of space covered by the shape's surface. To work out the area of a rectangle multiply the length of its longest side by the length of its shortest side. To work out its perimeter just add together the length of all of its sides.
So, you are fine with squares and oblongs. You might also be confident with triangles. But can you work out the perimeter and area of shapes such as a trapezium and a rhombus? They have their own rules which it will do you good to learn. The following quiz provides a more advanced look at calculating areas and perimeters of 2-Dimensional shapes.
Before trying this quiz, you might want to refresh your memory by playing the easier quiz called 'Level 3-4 Perimeter and Area 01'. Or, if you are already quite confident, then jump right on in. Good luck!
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You can find more about this topic by visiting BBC Bitesize - Perimeter, Area, Volume
The perpendicular height of an object should not be confused with the length of its shortest side
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A square is a special rectangle - its length and width are the same
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The formula for calculating the area of a parallelogram is A = bh (Area = base x height)
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Did you get it wrong by confusing the perpendicular height with the length of its shortest side? The perpendicular height is NOT the same as the length of the shortest side!
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Area of a triangle = 1⁄2(b x h)
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To find the area of a triangle, multiply the base by the height, and then divide by 2. So, to find the length of the base, divide 420 by 30 then multiply your answer by 2
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Area of a trapezium = 1⁄2 (a + b)h
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When you are dealing with shapes it is often useful to draw the shape so that you can understand the question better
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If the rhombus has a right angle, it is also a square
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Area of a rhombus = perpendicular height x side length
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