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 115 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 + 115 = 119 |
√119 ≈ 10.91 |
No (x) |
6 |
6 x 6 = 36 |
36 + 115 = 151 |
√151 ≈ 12.29 |
No (x) |
9 |
9 x 9 = 81 |
81 + 115 = 196 |
√196 = 14 |
Yes (✓) |
Length of the smaller square = 9 cm
Area of the smaller square = 81 cm
2
Area of the bigger square
= 81 + 115
= 196 cm
2 Length of the bigger square
= √196
= 14 cm (It is a whole number.)
Perimeter of the bigger square
= 4 x 14
= 56 cm
Answer(s): 56 cm