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
Given,
Arjun bought a rectangular plot with length $x$ and breasth $y.$
$\therefore\ $Area of rectangular plot $=$ Length $\times $ breadth $= x \times y = xy$
Alos given triangular part with base y and height z is sold
So, area of triangular part $=\frac{1}{2}\times\text{y}\times\text{z}=\frac{1}{2}\text{y}\ \text{z}$
$\Big[\therefore\ \text{area of triangle}\ = \frac{1}{2}\times\ \text{height}{\times}\text{base}\Big]$
$\therefore\ $Area of remainig part of the plot
$=$ Area of rectangular plot $-$ area of triangular plot
$=\text{xy}-\frac{1}{2}\text{xy}=\text{y}\Big(\text{x}-\frac{1}{2}\text{z}\Big)$
Arjun bought a rectangular plot with length $x$ and breasth $y.$
$\therefore\ $Area of rectangular plot $=$ Length $\times $ breadth $= x \times y = xy$
Alos given triangular part with base y and height z is sold
So, area of triangular part $=\frac{1}{2}\times\text{y}\times\text{z}=\frac{1}{2}\text{y}\ \text{z}$
$\Big[\therefore\ \text{area of triangle}\ = \frac{1}{2}\times\ \text{height}{\times}\text{base}\Big]$
$\therefore\ $Area of remainig part of the plot
$=$ Area of rectangular plot $-$ area of triangular plot
$=\text{xy}-\frac{1}{2}\text{xy}=\text{y}\Big(\text{x}-\frac{1}{2}\text{z}\Big)$
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