The NZ Centre of Mathematics www.mathscentre.co.nz Name: ___________________________________ Date: ___________ Area 1 : Rectangles - Measuring Edges Measure the edges of the rectangles below, and label them, then use your answers to calculate the area of each rectangle in cm2. Enter your answer in the space provided. Shape Number Area of Shape 1 1 2 2 3 4 5 6 7 8 3 5 6 4 8 9 7 10 The NZ Centre of Mathematics www.mathscentre.co.nz 9 10 Name: ___________________________________ Date: ___________ Area : Rectangles Using Formula 1 Calculate the areas of the following rectangles using the formula: Area = Length X Width Write your answers in the spaces provided. Remember to include the correct unit of measurement, i.e. cm2 or m2. Rectangle Number Area 1 2 3 4 5 6 7 8 9 10 These rectangles are not drawn to scale. 6 cm Number 1 4 cm 5 cm 2 cm Number 3 Number 2 3cm 8 cm 3 cm 9 cm 5 cm Number 5 Number 4 5 cm 6m 5m 2m Number 7 4m Number 6 Number 8 5 cm Number 9 6 cm Number 10 8 cm The NZ Centre of Mathematics www.mathscentre.co.nz 7 cm 4 cm 5 cm To calculate the area/perimeter of compound shapes. 10cm 2cm 7cm 15cm 10cm 8cm 5cm 10cm 11cm 3cm 5cm 9cm 5cm 6cm 5cm 2cm 2cm 3cm 9cm 3cm 4cm 8cm 5cm 8cm 5cm 12cm The NZ Centre of Mathematics www.mathscentre.co.nz 3cm Perimeter and Area Homework Find the perimeter and area of these compound shapes. 1. Area 1 = ____ Area 2 = ____ 2. Area 1 = ____ Area 2 = ____ Total Area __________ Total Area __________ Perimeter _____cm 3. Perimeter _____cm 4. Area 1 = ____ Area 2 = ____ Area 1 = ____ Area 2 = ____ Total Area __________ Total Area __________ Perimeter _____cm 5. Perimeter _____cm 6. Area 1 = ____ Area 2 = ____ Area 1 = ____ Area 2 = ____ Total Area __________ Total Area __________ Perimeter _____cm 7. Perimeter _____cm 8. Area 1 = ____ Area 2 = ____ Area 1 = ____ Area 2 = ____ Total Area __________ Total Area __________ Perimeter _____cm The NZ Centre of Mathematics www.mathscentre.co.nz Perimeter _____cm Egyptian Area The Tomb of Tyti – Big Group 43m 6m 7m 15m Side chamber 1 = Entrance = Side Chamber 2 = Rear annex = Burial chamber = Entrance Corridore = 48m 8m 13m 9m 6m 17m Find the area of The following rooms Remember l x b and m² 16m What is the TOTAL area of this tomb? 8m The NZ Centre of Mathematics www.mathscentre.co.nz Egyptian Area The Tomb of Amenhotep III (and possibly Queen Tiy) on the West Bank at Luxor – Big Group 87m 8m 68m 13m 18m 5m 9m 3m 18m 3m 23m 17m 8m 9m Find the area of the following rooms Remember l x b and m² 8m 6m 3m 8m The NZ Centre of Mathematics www.mathscentre.co.nz Entrance = Well = Burial chamber= Crypt= Antechamber= Tiy chamber= Corridor 1 = Two pillared chamber= Sitamun Chamber= Egyptian Area The Tomb of Tyti – Small Group 3m 6m 2m 5m Side chamber 1 = Entrance = Side Chamber 2 = Rear annex = Burial chamber = Entrance Corridore = 10m 5m 3m 9m 2m 7m Find the area of The following rooms Remember l x b and m² 6m 5m The NZ Centre of Mathematics www.mathscentre.co.nz Egyptian Area & Perimeter - Big Group Using the measurements given on the plan below – calculate the area of the tomb. 155m 174m 6m B A 6m Show your calculation as a sum!! 684m D E Area of A = L x B = 8m 7m Remember to use 172m F 8m H 68m m² 8m 49m Using the measurements given on the plan below – calculate the total PERIMETER of the tomb. 1. The Pharaoh wants to put up a 4m wooden strip around the walls of his tomb. If 1m of wood costs $8, how 2m 2m 1m 1m 1m 1m 3m much will it cost to buy the wooden strips needed for this job? 3m 2. How much change will the Pharaoh get if he pays with $400.00 10m 3. The Pharaoh employs a slave to do the job. It takes him 7 hours. The Pharaoh pays him $3.40 per 10m hour. How much does the slave get paid in total? 4. Show the notes/coins the 7m The NZ Centre of Mathematics www.mathscentre.co.nz Pharaoh would give to the slave. Egyptian Area & Perimeter – Small Group Using the measurements given on the plan below – calculate the area of the tomb. 5m 4m 6m B A 6m Show your calculation as a sum!! 14m Area of A = L x B = D E 3m 5m Remember to use 12m F 2m H 8m m² 2m 9m Using the measurements given on the plan below – calculate the total PERIMETER of the tomb. 1. The Pharaoh wants to put up a wooden strip around the walls of his 4m tomb. If 1m of wood costs $2, how 2m 2m 1m much will it cost to buy the wooden 1m 1m 1m 3m strips needed for this job? 3m 2. How much change will the Pharaoh get if he pays with $200.00? 6m 3. The Pharaoh employs a slave to do the job. It takes him 7 hours. 6m The Pharaoh pays him $2.00 per hour. How much does the slave get paid in total? 7m The NZ Centre of Mathematics www.mathscentre.co.nz 4. Show the notes/coins the Pharaoh would give to the slave. Table of Measurements and Area Complete the table below by carefully estimating and then measuring the listed objects. Find 3 for yourself to measure. Be careful to select the appropriate measuring tool too!. When you have finished, try to convert your answers into metres or centimetres. E.g 100cm2 = 1.0m2 Item Desk Length Estimate Actual = 105cm = 111cm Classroom Estimate Actual Door = = Window Estimate Actual = = Exercise Book Estimate Actual = = Classroom Estimate Actual = = Hall Estimate Actual = = Netball Court Estimate Actual = = Estimate Actual = = Estimate Actual = = Estimate Actual = = Estimate Actual = = Width Estimate Actual = 50cm = 55cm Estimate Actual = = Estimate Actual = = Estimate Actual = = Estimate Actual = = Estimate Actual = = Estimate Actual = = Estimate Actual = = Estimate Actual = = Estimate Actual = = Estimate Actual = = Total Estimate = 5250cm Estimate = Estimate = Estimate = Estimate = Estimate = Estimate = Estimate = Estimate = Estimate = Estimate = Area Actual = 6105cm2 Actual = Actual = Actual = Actual = Actual = Actual = Actual = Actual = Actual = Actual = Challenge: How many classroom doors would fit on the netball court? Can you explain the method you used to find your answer? The NZ Centre of Mathematics www.mathscentre.co.nz To find the area of triangles. 1. 2. (Triangles not drawn to scale) 12cm 3. 4cm 4cm 8cm 4cm 3cm 7cm 4. 5. 11cm 9cm 6. 8cm 12cm 10cm 7. 9cm 8. 8cm 9. 7cm 12cm 14cm 5cm 10. 12. 11. 6cm 8cm 9cm 9cm 7cm 6cm The NZ Centre of Mathematics www.mathscentre.co.nz