the length of a rectangle is 13 centimeters less than its width. What are the dimensions of the rectangle if it’s area is 114 sq
2 answers:
Answer:
w = 19
L = 6
Step-by-step explanation:
L = w - 13
a = lw
114 = w(w - 13)
114 = w² - 13w
w² - 13w - 114
(w - 9) (w + 6)
w ≠ -6 (a length cannot be negative)
w = 19
L = 19 - 13
L = 6
here is ur answer dear frnd
let width = x cm
so length = x - 13 cm
According to question ,
Area = length × breadth
114 = x( x-13)
114= x^2 - 13 x
x^2 -13x - 114 =0
x^2 -19x + 6x -114 =0
x(x-19) + 6(x- 19)= 0
(x-19)(x+6)= 0
take x - 19 = 0
so x = 19
take x+6 = 0
that gives x= -6 ( not possible)
so width = 19 cm
and length = 19- 13 = 6 cm
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