- The area of a rectangle gets reduced by 9 square units, if
- The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle. [4 MARKS]
- NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.5
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The area of a rectangle gets reduced by 9 square units, if
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The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle. [4 MARKS]
Formula: 1 Mark Concept: 1 Mark Application: 2 Marks Let length be l& breadth be b Area of rectangle is = l e n g t h × b r e a d t h According to given condition, ( l − 5 ) ( b + 3 ) = l b − 9 ⇒ l b − 5 b + 3 l − 15 = l b – 9 ⇒ 3 l − 5 b = 6 … … ( i ) Also, ( l + 3 ) ( b + 2 ) = l b + 67 2 l + 3 b = 61 … … ( i i ) Solving (i) and (ii) we get, 2 × ( i ) − 3 × ( i i ) ⇒ 6 l − 10 b − 6 l − 9 b = 12 − 183 − 19 b = − 171 ⇒ b = 9 Substituting value of b in (i) 3 l − 5 ( 9 ) = 6 ⇒ l = 17 ⇒ l = 17 , b = 9 ∴ The length is 17 units and breadth is 9 units. Q. The area of a rectangle gets reduced by 9 square units. if its length is reduced by 5 units and breadth is increased by 3 units. However, if the length of this rectangle increases by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle. Let the length of the rectangle = x units and its breadth = y units According to first condition : ( x − 5 ) ( y + 3 ) = x y − 9 and According to second condition: ( x + 3 ) ( y + 2 ) = x y + 67
NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.5
Get Free NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.5 PDF. Pair of Linear Equations in Two Variables Class 10 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 3.5 Class 10 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. Detailed answers of all the questions in Chapter 3 Maths Class 10 Pair of Linear Equations in Two Variables Exercise 3.5 provided in NCERT TextBook. Topics and Sub Topics in Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables: Section Name Topic Name 3 Pair of Linear Equations in Two Variables 3.1 Introduction 3.2 Pair Of Linear Equations In Two Variables 3.3 Graphical Method Of Solution Of A Pair Of Linear Equations 3.4 Algebraic Methods Of Solving A Pair Of Linear Equations 3.4.1 Substitution Method 3.4.2 Elimination Method 3.4.3 Cross-Multiplication Method 3.5 Equations Reducible To A Pair Of Linear Equations In Two Variables 3.6 Summary • • • • • • • • • • • • • • • You can also download the free PDF of Ex 3.5 Class 10 Pair of Linear Equations in Two Variables NCERT Solutions or save the solution images and take the print out to keep it handy for your exam preparation. Board CBSE Textbook NCERT Class Class 10 Subject Maths Chapter Chapter 3 Chapter Name Pair of Linear Equations in Two Variables Exercise Ex 3.5 Number of Questions Solved 4 Category NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.5 NCERT Solutions for Class 10 Maths C...
