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 153 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 + 153 = 157 |
√157 ≈ 12.53 |
No (x) |
5 |
5 x 5 = 25 |
25 + 153 = 178 |
√178 ≈ 13.34 |
No (x) |
4 |
4 x 4 = 16 |
16 + 153 = 169 |
√169 = 13 |
Yes (✓) |
Length of the smaller square = 4 cm
Area of the smaller square = 16 cm
2
Area of the bigger square
= 16 + 153
= 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