Question

Arjun bought a rectangular plot with length x and breadth y and then sold a triangular part of it whose base is y and height is z. Find the area of the remaining part of the plot.

Answer 1

Given, Arjun bought a rectangular plot with length x and breadth y.

∴ Area of rectangular plot = Length × Breadth = x × y = xy

Also, given triangular part with base y and height z is sold.

So, area of triangular part

= `1/2 xx y xx z`  ...`[∵ "Area of triangle" = 1/2 xx "height" xx "base"]`

= `1/2yz` 

∴ Area of remaining part of the plot

= Area of rectangular plot – Area of triangular plot 

= `xy - 1/2yz`

= `y(x - 1/2z)`