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 85 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 + 85 = 89 |
√89 ≈ 9.43 |
No (x) |
5 |
5 x 5 = 25 |
25 + 85 = 110 |
√110 ≈ 10.49 |
No (x) |
6 |
6 x 6 = 36 |
36 + 85 = 121 |
√121 = 11 |
Yes (✓) |
Length of the smaller square = 6 cm
Area of the smaller square = 36 cm
2
Area of the bigger square
= 36 + 85
= 121 cm
2 Length of the bigger square
= √121
= 11 cm (It is a whole number.)
Perimeter of the bigger square
= 4 x 11
= 44 cm
Answer(s): 44 cm