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 13 cm
2. Find the perimeter of the smaller 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 + 13 = 17 |
√17 ≈ 4.12 |
No (x) |
5 |
5 x 5 = 25 |
25 + 13 = 38 |
√38 ≈ 6.16 |
No (x) |
6 |
6 x 6 = 36 |
36 + 13 = 49 |
√49 = 7 |
Yes (✓) |
Length of the smaller square = 6 cm
Area of the smaller square = 36 cm
2
Area of the bigger square
= 36 + 13
= 49 cm
2 Length of the bigger square
= √49
= 7 cm (It is a whole number.)
Perimeter of the smaller square
= 4 x 6
= 24 cm
Answer(s): 24 cm