Question

can I get the full solution

Answer 1

Hi !

Let ,
Breadth  = x
Then ,
Length = y 
Given ,
 y =   2x - 7 
2x - y = 7              ---> [1]

=======================

Perimeter = 2(length+ breadth) = 66 m

new length :-
y-1

new breadth= x - 4


2(y-1 + x - 4) = 66

2(y + x -5) = 66

2y + 2x -10 = 66

2x + 2y = 76

2(x+y) = 76
x + y = 76/2
x + y = 38          ----> [2]

adding equations 1 and 2 ,


x + y = 38 
2x -y = 7
=========
3x = 45

x = 45/3
   = 15

x + y = 38
15 +y = 38

y = 38 - 15
   = 23

Length = y = 23 m
Breadth = x  = 15 m

Answer 2

Heya,

Let the width of of the rectangle be x and length be y

Given,

Y= 2x-7-------------(1)

Length is decreased by 1 and Width is decreased by 4

⇒ Y -1 and x- 4

Perimeter = 2(l+b)

⇒66 = 2 ( y-1+x-4)

66= 2(x+y-5)

33 = x+y -5

x + y = 38---(2)

Substitute eq (1) in eq (2)

x+2x-7 = 38

3x = 45

x= 45/3

x = 15

Substitute vale of x in eq(2)

15 +y = 38

y = 23.

Therefore length of the rectangle is 23 m and width is 15 m.

Hope it helps u.....