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 57 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 + 57 = 61 |
√61 ≈ 7.81 |
No (x) |
6 |
6 x 6 = 36 |
36 + 57 = 93 |
√93 ≈ 9.64 |
No (x) |
8 |
8 x 8 = 64 |
64 + 57 = 121 |
√121 = 11 |
Yes (✓) |
Length of the smaller square = 8 cm
Area of the smaller square = 64 cm
2
Area of the bigger square
= 64 + 57
= 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