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 128 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 + 128 = 132 |
√132 ≈ 11.49 |
No (x) |
6 |
6 x 6 = 36 |
36 + 128 = 164 |
√164 ≈ 12.81 |
No (x) |
4 |
4 x 4 = 16 |
16 + 128 = 144 |
√144 = 12 |
Yes (✓) |
Length of the smaller square = 4 cm
Area of the smaller square = 16 cm
2
Area of the bigger square
= 16 + 128
= 144 cm
2 Length of the bigger square
= √144
= 12 cm (It is a whole number.)
Perimeter of the bigger square
= 4 x 12
= 48 cm
Answer(s): 48 cm