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# Choose the Correct Alternative Answers for the Following Questions. - Algebra

MCQ

Choose the correct alternative answers for the following questions.
'When 5 is subtracted from length and breadth of the rectangle, the perimeter becomes 26.' What is the mathematical form of the statement ?

#### Options

• x - = 8

• x + y = 8

• x + y = 23

• 2x + y = 21

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#### Solution

Let the length be and the breadth be y
Perimeter of the rectangle = 2(l + b) = 26
2(l + b) = 26
⇒ 2[( x - 5) + (y - 5)] = 26
⇒ 2 [ x + y - 10] = 26
⇒ x + y = 23
Hence, the correct answer is option (C).

Concept: General Form of Linear Equation in Two Variables
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#### APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 5 Linear Equations in Two Variables
Problem Set 5 | Q 1.2 | Page 91
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