question_answer

A rectangular piece of canvas measures 25 cm by 16 cm. A triangular piece, with base 14 cm and height 10 cm is cut off from the canvas. Find the area of the remaining piece.

A)  \[400\,c{{m}^{2}}\]           

B)  \[120\,c{{m}^{2}}\]           

C)         \[140\,c{{m}^{2}}\]       

D)         \[330\,c{{m}^{2}}\]

Correct Answer: D

Solution :

        Let ABCD is a rectangular piece of canvas. \[\Delta \,LBM\]is the triangular piece to be cut off.                    Required area = area of rectangle ABCD - area of \[\Delta \,LBM\] \[=25\times 16-\left( \frac{1}{2}\times 14\times 10 \right)=400-70=330c{{m}^{2}}\]