Question

choose the correct alternative. 1. when 5 is subtracted from length and breadth of the rectangle , the perimeter. becomes 26 .what is the mathematical from of the statement . ( a .x-y =8b. x+y= 23. c. x+y =21. d. x+y = 8)​

Answer 1

Step-by-step explanation:

Let the length of rectangle be x

Let breadth of rectangle be y

When 5 is subtracted from length and breadth of rectangle,

x → x-5

y→ y-5

Formula of perimeter of rectangle : 2(Length+Breadth)2(Length+Breadth)

So, Perimeter = 2(x-5+y-5)2(x−5+y−5)

26 = 2(x+y-10)26=2(x+y−10)

\frac{26}{2} = 2(x+y-10)

2

26

=2(x+y−10)

13 = x+y-1013 = x+y−10

23 = x+y23=x+y

Hence the mathematical form of the statement is 23 = x+y23=x+y

Answer 2

$\huge\mathcal\purple{Answer❣}$

Let the length and breadth be x and y.

According to the question, new length and breadth x-5 and y-5 respectively.

Perimeter of rectangle = 26

2(x - 5 + y - 5) = 26

x + y - 10 = 13

x + y = 23

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