The class X students of a secondary school in Krishinagar have been allotted a rectangular plot of land for their gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is a triangular grassy lawn in the plot as shown in the following figure. The students are to sow seeds of flowering plants on the remaining area of the plot.

(i) Taking A as origin, find the coordinates of the vertices of the triangle.

(ii) What will be the coordinates of the vertices of Δ PQR if C is the origin?

Also calculate the areas of the triangles in these cases. What do you observe?

Open in App

Solution

(i) Taking A as origin, we will take AD as x-axis and AB as y-axis. It can be observed that the coordinates of point P, Q, and R are (4, 6), (3, 2), and (6, 5) respectively.

(ii) Taking C as origin, CB as x-axis, and CD as y-axis, the coordinates of vertices P, Q, and R are (12, 2), (13, 6), and (10, 3) respectively.

It can be observed that the area of the triangle is same in both the cases.

Suggest Corrections

Similar questions

Q. The Class

X

students of a secondary school in Krishinagar have been allotted a rectangular plot of land for their gardening activity. Sapling of Gulmoharare planted on the boundary at a distance of

1

m from each other. There is a triangular grassy lawn in the plot as shown in the Fig. The students are to sow seeds of flowering plants on the remaining area of the plot.
(i) Taking

A

as origin, find the coordinates of the vertices of the triangle.
(ii) What will be the coordinates of the vertices of

Δ P Q R

C

is the origin?
Also calculate the areas of the triangles in these cases. What do you observe?

Question 5
The class X students of a secondary school in Krishinagar have been allotted a rectangular plot of land for their gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is a triangular lawn in the plot as shown in the figure. The students are to sow the seeds of flowering plants on the remaining area of the plot.
(a) Taking A as origin, find the coordinates of the vertices of the triangle.
(b) What will be the coordinates of the vertices of triangle PQR if C is the origin.
(c) Also calculate the areas of the triangles in these cases. What do you observe?

In a school, students thought of planting saplings in and around the school to reduce air pollution. It was decided that the number of saplings, that each section of each class will plant, will be the same as the class, in which they are studying, e.g, a section of Class I will plant 1 tree, a section of class II will plant two saplings and so on till Class XII. There are three sections of each class. How many saplings will be planted by the students?

Q. You are provided a plot of land of dimension

12 \times 9 m^{2}

to plant flower saplings. Each sapling needs to be planted in seperate flower vase of square shape. Find the minimum number of identical flower vases required to cover the whole plot.

Q. A friend of Steve who is a gardener is dealing with some issues about planting seeds. It turns out that she has a square garden and decided to plant seeds of beautiful flowering plants at these following particular locations. What are the coordinates of the location of the planted seeds in order

A, B, C

and

D

Join BYJU'S Learning Program