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प्रश्न
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.
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उत्तर
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)`
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