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 51 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 + 51 = 55 |
√55 ≈ 7.42 |
No (x) |
6 |
6 x 6 = 36 |
36 + 51 = 87 |
√87 ≈ 9.33 |
No (x) |
7 |
7 x 7 = 49 |
49 + 51 = 100 |
√100 = 10 |
Yes (✓) |
Length of the smaller square = 7 cm
Area of the smaller square = 49 cm
2
Area of the bigger square
= 49 + 51
= 100 cm
2 Length of the bigger square
= √100
= 10 cm (It is a whole number.)
Perimeter of the bigger square
= 4 x 10
= 40 cm
Answer(s): 40 cm