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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

Solution:

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

He sold a triangular part of it with base y and height z.

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

Considering rectangular plot,

Area of rectangle = length × breadth

Length = x

Breadth = y

Area of rectangular plot = x × y

= xy square units

Considering triangular part,

Area of triangle = 1/2 × base × height

Base = y

Height = z

Area of triangular part = 1/2 × y × z

= yz/2 square units

Remaining area of the plot = area of rectangular plot - area of triangular plot

= xy - (yz/2)

Taking out y as common,

= y(x - z/2)

Therefore, the remaining area is y(x - z/2) square units.

✦ Try This: Aman bought a rectangular plot with length 2x and breadth 2y and then sold a triangular part of it whose base is 2y and height is3hz. Find the area of the remaining part of the plot

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 74

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

Summary:

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. The area of the remaining part of the plot is y(x - z/2) square units.

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