Understanding Perimeter and Area of Compound Shapes
Learn how to calculate perimeter and area of compound shapes by breaking them down into simpler components and using known information to find unknown lengths. Explore strategies for solving practical problems involving measurement and surface area.
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Description: swlogo Functional Skills Maths Area & perimeter of complex shapes October 2014. Kindly contributed by Kellie Smith, University of West London Search for Kellie on www.skillsworkshop.org Please refer to the download page for this resource on skillsworkshop.org for detailed curriculum links and related resources. Underpins the following Functional Maths coverage & range statements Level 1 solve problems requiring calculation, with common measures, including money, time, length, weight, capacity & temperature work out areas and perimeters in practical situations Level 2 find area, perimeter and volume of common shapes use, convert and calculate using metric and, where appropriate, imperial measures http://www.ofqual.gov.uk/
Calculating the perimeter and area of compound shapes
What is perimeter? It is the total length of all the sides of a shape. Length + Width + Width Length +
But what if you are finding the perimeter of a compound shape? Simply add together all the sides lengths! 50m Perimeter = 120 + 50 + 100 + 50 + 20 + 100 100 m = _________ m. 120m 50 m 20m 100m
What is area? It is the measurement of surface covered. Length x Width = units2 (e.g. mm2, cm2, m2, km2)
But what if you are finding area of a compound shape? You need to split the compound shape into simple shapes! Area A = 120m x 50m 50m = _____ m2 A Area B = 50m x 20m 100m Total Area of shape = Area A + Area B = 6000 m2 + 1000 m2 = ______ m2 = ______ m2 120m 50m B 20m 100m
But what if you dont know some of the lengths of the sides? Simply use the information you know to work out the information you need! 50m ? m = 100m - 50m = ? m ? m = 120m - 20m = 120m Top Tip: Use information from PARALLEL sides ? m 20m 100m
