Border areas
Calculate the shaded areas
1. 2. 3.
5cm
7cm
5cm
3.5cm
4cm
6cm
10cm
4cm
9cm
14cm
7cm
8cm
4. 5. 6.
9cm 2cm
3cm
5cm
6cm 5cm
4cm
6cm
4cm
15cm
10cm
5.5cm
7cm
9cm
3cm
4cm
6cm
4cm
11cm
7cm
7. All 4 rectangles are 8. All 4 rectangles are 9. All 4 triangles cut off the
identical identical square are identical
2cm
3cm
7cm
10cm
9cm 15cm
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Border areas
Answers
Some suggested methods
1. 80 - 30 = 50 cm2
2. 70 - 28 = 42 cm2
3. 63 - 14 = 49 cm2
4. 135 - 48 = 87 cm2
5. 143 - 15 - 18 - 22 = 143 - 55 = 88 cm2
6. 98 - 28 - 12.5 = 98 - 40.5 = 57.5 cm2
7. 5 x 5 = 25 cm2 or 81 - 4(14) = 81 - 56 = 25 cm2
8. 7 x 7 = 49 cm2 or 169 - 4(30) = 169 - 120 = 49 cm2
9. 225 - 49 - 4(8) = 225 - 81 = 144 cm2 or 4(28) + 4(8) = 112 + 32 = 144 cm2
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