Question

Arjun bought a rectangular plot with the length x and y and then sold a rectangular part of it whose base is Y and height is
z find the area of remaining part of the plot

Answer 1

Correct question

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

Arjun bought a rectangular plot with the length x and y.

Given that, length of rectangular plot = x

The breadth of rectangular plot = y

We know that,

Area of rectangle = length × breadth

So, the area of rectangular plot = x × y = (xy) unit square

Also given that, he sold a triangular part of a rectangular plot whose base is y and height is z.

Here, base = y and height = z

Area of triangle = 1/2 × base × height

⇒ 1/2 × y × z

⇒ (yz/2) unit square

We have to find the area of remaining part of the plot.

Now,

Area of remaining plot = Area of the rectangular plot - Area of the triangular part.

Substitute the known values

⇒ [(xy) - (yz/2)] unit square

Answer ⇒ y(x - z/2) unit square

Answer 2

Correct 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:

$\boxed{y(x - \frac{1}{2}z)}$

Step-by-step explanation:

Given,

• Length of a rectangular plot = x
• Breadth of a rectangular plot = y
• Base of triangular part = y
• Height of a triangular part = z

To Find,

• Area of remaining part of the plot = ?

Solution,

• Area of rectangle = Length × Breadth

• Area of triangle = 1/2 × base × height

→ Area of rectangular plot = x × y = xy unit square

→ Area of triangular part = 1/2 × y × z = 1/2yz unit square

So, now area of remaining part of the plot :-

→ Area of rectangular plot - Area of triangular part

= xy - 1/2yz

= y(x - 1/2z) unit square

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