Question

if area of rectangle is 10 sq.units whose length is x-1 and breadth is x-4 then x=​

Answer 1

Answer:

value of x = 6

Step-by-step explanation:

given that :

area of rectangle = 10 units²

length of rectangle = x -1 = L

breadth of rectangle = x - 4 = B

by the formula ; area of rectangle = (length)(breadth)

=(L)(B)

=(x - 1)(x - 4)

=(x)(x) - (x)(4) - (1)(x) + (1)(4)

=x² - 4x - x + 4

=x² - 5x + 4

area = LB

substitute value of area in above formula

10 = x² - 5x + 4

x² - 5x - 6 = 0

x² - 6x + x - 6 = 0

x(x - 6) + (x - 6) = 0

(x - 6)(x + 1) = 0

x = 6 or x = -1

substitute x= -1; in length (x - 1)

it becomes (-1 - 1) = -2

length can not be a negative value. so x must not be '-1'

x = 6