Level 3 The figure, not drawn to scale, is made up of 2 squares. The length of each square is a whole number. The shaded area is 15 cm
2. Find the perimeter of the bigger square.
Length of Small Square |
Area of Small Square |
Area of Big Square |
Length of Big Square |
Is the length of big square a whole number? |
2 |
2 x 2 = 4 |
4 + 15 = 19 |
√19 ≈ 4.36 |
No (x) |
6 |
6 x 6 = 36 |
36 + 15 = 51 |
√51 ≈ 7.14 |
No (x) |
7 |
7 x 7 = 49 |
49 + 15 = 64 |
√64 = 8 |
Yes (✓) |
Length of the smaller square = 7 cm
Area of the smaller square = 49 cm
2
Area of the bigger square
= 49 + 15
= 64 cm
2 Length of the bigger square
= √64
= 8 cm (It is a whole number.)
Perimeter of the bigger square
= 4 x 8
= 32 cm
Answer(s): 32 cm