The dimension of a rectangular plot is 36m x 20m. When the breadth is decreased to 14.4 m, what will be the length of the plot if the area remains same?

The dimension of a rectangular plot is 36m x 20m. When the breadth is decreased to 14.4 m, what will be the length of the plot if the area remains same?

Answer : 50m.

Solution :

Dimension of the rectangle plot = 36m x 20m.

Length of the plot l = 36m

Breadth of the plot b = 20m.

Area of the plot = lb = 36 x 20 = 720 m2 .

Since breadth is decreased to 14.4 m, the new breadth = 14.4 m

Note that, the area is unchanged.

new length x new breadth = 720 m2 .

New length = 720 m2 / 14.4 m = 50m.

Hence, the required length is 50m