length of rectangle is 6cm more than it's width and area is 280cm.find perimeter of rectangle
Answers
Answered by
1
Let the breadth be x
Length is 6 cm more than breadth
Thus the Length is x + 6 cm
Area of rectangle = length × breadth
280 = x • (x+6)
280 = x² + 6x
x² + 6x - 280 = 0
x² + 20x - 14x - 280 = 0
x(x+20) - 14(x+20) = 0
(x-14)(x+20) = 0
thus x = 14 OR x = -20
But the side of a rectangle can't be negative
thus x = 14
BREADTH = x = 14cm
LENGTH = x + 6 = 14 + 6 = 20cm
HOPE IT HELPS !!!
PLEASE MARK MY ANSWER AS BRAINLIEST !!!
Length is 6 cm more than breadth
Thus the Length is x + 6 cm
Area of rectangle = length × breadth
280 = x • (x+6)
280 = x² + 6x
x² + 6x - 280 = 0
x² + 20x - 14x - 280 = 0
x(x+20) - 14(x+20) = 0
(x-14)(x+20) = 0
thus x = 14 OR x = -20
But the side of a rectangle can't be negative
thus x = 14
BREADTH = x = 14cm
LENGTH = x + 6 = 14 + 6 = 20cm
HOPE IT HELPS !!!
PLEASE MARK MY ANSWER AS BRAINLIEST !!!
Similar questions