Value Based Questions (VBQs) - Coordinate Geometry Class 9 Notes | EduRev

Mathematics (Maths) Class 9

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Class 9 : Value Based Questions (VBQs) - Coordinate Geometry Class 9 Notes | EduRev

The document Value Based Questions (VBQs) - Coordinate Geometry Class 9 Notes | EduRev is a part of the Class 9 Course Mathematics (Maths) Class 9.
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Question 1. KGB schools provide free education to girls students from weaker sections. The local body of a town want to open a KGB school in the town for which a rectangular plot ABCD, as shown in the following figure, is very suitable. But this plot belongs to Rati Ram. Rati Ram agrees to exchange it with triangular plot PQR as shown in the same figure. The co-ordinates of the vertices of both the plots are shown in the figure:

Value Based Questions (VBQs) - Coordinate Geometry Class 9 Notes | EduRev

(i) Compare the areas of both the plots.
(ii) Which mathematical concept is used in the above problem?
(iii) By opening KGB school in the town, which value is depicted by the local body?
Solution. (i) For rectangle ABCD:
AB = 8 – 2 = 6 units Value Based Questions (VBQs) - Coordinate Geometry Class 9 Notes | EduRevLength
AD = 12 – 8 = 4 units Value Based Questions (VBQs) - Coordinate Geometry Class 9 Notes | EduRev Breadth
∴ Area of rectangle ABCD = AB × AD
= 6 units × 4 units
= 24 sq. units.

For triangle PQR:
QR = 12 – 4 = 8 units Value Based Questions (VBQs) - Coordinate Geometry Class 9 Notes | EduRev Base
SP = 6 – 0 = 6 units Value Based Questions (VBQs) - Coordinate Geometry Class 9 Notes | EduRev Height
∴ Area of DPQR Value Based Questions (VBQs) - Coordinate Geometry Class 9 Notes | EduRev
Value Based Questions (VBQs) - Coordinate Geometry Class 9 Notes | EduRev
= 24 sq. units.

⇒  [area of rect. ABCD] = [area of ΔPQR] 

(ii) Co-ordinate Geometry.
(iii) Community or social upliftment.

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