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 48 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 + 48 = 52 |
√52 ≈ 7.21 |
No (x) |
5 |
5 x 5 = 25 |
25 + 48 = 73 |
√73 ≈ 8.54 |
No (x) |
4 |
4 x 4 = 16 |
16 + 48 = 64 |
√64 = 8 |
Yes (✓) |
Length of the smaller square = 4 cm
Area of the smaller square = 16 cm
2
Area of the bigger square
= 16 + 48
= 64 cm
2 Length of the bigger square
= √64
= 8 cm (It is a whole number.)
Perimeter of the smaller square
= 4 x 4
= 16 cm
Answer(s): 16 cm