Question

A carpenter had a board which measured 3 m × 2 m. She cut out a rectangular piece of 250 cm × 90 cm. What is the ratio of the area of cut out piece and the remaining piece?

Answer 1

The area of the board = 3 m × 2 m

= 6 m² 

= 6 × 10000 cm² 

= 60000 cm²

And the area of cut out piece = 250 cm × 90 cm

= 22500 cm²

∴ The area of remaining piece = (60000 – 22500) cm²

= 37500 cm² 

Thus, the required ratio = `"The area of cut out piece"/"The area of remaining piece"`

= `(22500  cm^2)/(37500  cm^2)`

= `3/5`

= 3 : 5