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 105 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 + 105 = 109 |
√109 ≈ 10.44 |
No (x) |
5 |
5 x 5 = 25 |
25 + 105 = 130 |
√130 ≈ 11.40 |
No (x) |
8 |
8 x 8 = 64 |
64 + 105 = 169 |
√169 = 13 |
Yes (✓) |
Length of the smaller square = 8 cm
Area of the smaller square = 64 cm
2
Area of the bigger square
= 64 + 105
= 169 cm
2 Length of the bigger square
= √169
= 13 cm (It is a whole number.)
Perimeter of the smaller square
= 4 x 8
= 32 cm
Answer(s): 32 cm