the length and width of a rectangle are consecutive integers. If the area of the rectangle is 90cm^2 , what is the primeter of t
he triangle
1 answer:
Answer:
Step-by-step explanation:
Let length and width of a rectangle be x, x+1
Area = 90 sq.cm
length * width = 90
x * (x + 1) = 90
x² + x = 90
x² + x - 90 = 0
x² + 10x - 9x - 9 * 10 = 0
x ( x + 10 ) - 9 (x + 10 ) = 0
(x + 10 ) (x - 9) = 0
x + 10 = 0 or x - 9 = 0
x = -10 { impossible . as length cannot be negative} ;
x = 9
Length = 9 , width = 10
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