If the length of a rectangle is decreased by 2 meters and the breadth increased by 2 meters area would increase 8 sq.m. if the length is decreased by 3 meters and the breadth decreased by 1 cm, the area would decrease by 27 sq.cm. what are the length and breadth?
Answers
Answer:
Answer:
Your answer is (Length= 12m)(Breadth=6m)
Explanation:
Let the length be x
& the breadth be y
Area= LxB
=(x)(y)
= xy
Condition when the length decrease and breath increase. Area increase 8 square metres
Length= x-2
Breadth= y+2
Area=(x-2)(y+2)
xy+2x-2y-4 = xy+8
xy-xy+2x-2y-4-8 = 0
2x-2y-12=0 (i) equation
condition when the length and breadth decrease. Area decrease by 27 square metres
Length= x-3
Breadth= y-1
Area= (x-3)(y-1)
xy-x-3y+3 = xy-27
xy-xy-x-3y+3+27=0
-x-3y+30=0 (ii) equation
Using Elimination Method
2x-2y-12=0 (i) equation
-x-3y+30=0 (ii) equation
multiplying first equation with -1 and second equation with 2
2x-2y-12=0}x-1
-x-3y+30=0}x2
-2x+2y+12=0 (iii) equation
-2x-6y+60=0 (iv) equation
Step-by-step explanation: