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 55 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 + 55 = 59 |
√59 ≈ 7.68 |
No (x) |
6 |
6 x 6 = 36 |
36 + 55 = 91 |
√91 ≈ 9.54 |
No (x) |
3 |
3 x 3 = 9 |
9 + 55 = 64 |
√64 = 8 |
Yes (✓) |
Length of the smaller square = 3 cm
Area of the smaller square = 9 cm
2
Area of the bigger square
= 9 + 55
= 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