if the length of a rectangle is decreased by 5 unit and breadth increased by 8 units then the area will increase by 18 square units represent this situation as a linear equation in two variables and draw its graph.
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Step-by-step explanation:
let the length of the rectangle is X
let the breadth of rectangle is Y
area of rectangle is length × breadth=XY
given length of rectangle is decreased by 5 so X - 5
given breadth of rectangle is increased by 8 so Y - 8
given area of rectangle increased by 18. so XY + 18
the linear equation in 2 variables =
(X - 5)×(Y - 8)=(XY + 18)
substitute the values of X and Y one after one ....u will get the values and draw the graph by the values
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let x is the length of rectangle and d is width
then initial area =xy
according to question ,
(x-5)(y+8)=xy+18
xy+8x-5y-40=xy+18
8x-5y=68
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