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In this pattern of squares, each smaller square is half the area of the next biggest square.
What is the area of the grey part of the pattern?
square centimetres |
`150\ text(cm²)`
`text{Total area of the largest square}`
`= 40 xx 40`
`= 1600\ text(cm²)`
`=>\ text(Area of Square 2) = 800\ text(cm²)`
`=>\ text(Area of Square 3) = 400\ text(cm²)`
`:.\ text(Shaded area)` | `= 3/8 xx text(square 3 area)` |
`= 3/8 xx 400` | |
`= 150\ text(cm²)` |