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 63 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 + 63 = 67 |
√67 ≈ 8.19 |
No (x) |
5 |
5 x 5 = 25 |
25 + 63 = 88 |
√88 ≈ 9.38 |
No (x) |
9 |
9 x 9 = 81 |
81 + 63 = 144 |
√144 = 12 |
Yes (✓) |
Length of the smaller square = 9 cm
Area of the smaller square = 81 cm
2
Area of the bigger square
= 81 + 63
= 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