if the length of a rectangle is reduced by 5 units and its breadth is increased by 3 units in the area of the rectangle is reduced by 8 square units if the length is reduced by three units and the breadth is increased by 2 units then the area of the rectangle is increased by 67 units find the length and the breadth of the rectangle
Answers
Answered by
10
Answer:
Step-by-step explanation:
Let the length of rectangle be x units and breadth be y units
Area of rectangle = xy sq.units
ATQ
Case 1
length is reduced by 5 units
So l=x-5 units
Breadth is increased is by 3 units
So b=y+3 units
Area=xy-8
(x-5)(y+3)=xy-8
xy+3x-5y-15=xy-8
3x-5y=7.....0
2(3x-5y)=7×2
6x-10y=14......1
Case 2
Length is reduced by 3 units
l=x-3
Breadth is increased by 2 units
b=y+2
Area=xy+67
(x-3)(y+2)=xy+67
xy+2x-3y-6=xy+67
2x-3y=73
3(2x-3y)=73×3
6x-9y=219......2
Eq 2-1
y=205units
From 0
3x-5y=7
3x-5×205=7
3x=7+1025
3x=1032
x=344 units
Similar questions
Math,
6 months ago
Hindi,
6 months ago
Social Sciences,
11 months ago
Science,
11 months ago
Math,
1 year ago
Social Sciences,
1 year ago
Math,
1 year ago