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 160 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 + 160 = 164 |
√164 ≈ 12.81 |
No (x) |
5 |
5 x 5 = 25 |
25 + 160 = 185 |
√185 ≈ 13.60 |
No (x) |
3 |
3 x 3 = 9 |
9 + 160 = 169 |
√169 = 13 |
Yes (✓) |
Length of the smaller square = 3 cm
Area of the smaller square = 9 cm
2
Area of the bigger square
= 9 + 160
= 169 cm
2 Length of the bigger square
= √169
= 13 cm (It is a whole number.)
Perimeter of the bigger square
= 4 x 13
= 52 cm
Answer(s): 52 cm