Question

From a rectangular board of length 8 centimetres and breadth 3 centimetres, a small rectangular piece is cut off.

One side of the piece cut off is of length 3 centimetres itself. Denoting the length of the other side as x, write down an algebraic expression which gives the area of the remaining piece.

Answer 1

Length of the rectangular board = 8 cm

Breadth of the rectangular board = 3 cm

A small rectangular piece of breadth as 3 cm and length as x cm is cut off from the rectangular board.

∴ Length of the remaining piece = (8 − x) cm

Breadth of the remaining piece = 3 cm

Area of the remaining piece = Length of the remaining piece × Breadth of the remaining piece

= (8 − x) × 3 cm²

= (24 − 3x) cm²

Thus, the algebraic expression for the area of the remaining piece is 24 − 3x.