Answer:
630
Step-by-step explanation:
rectangle measure (x + 3) and (x - 2). What is the value of x? (Type the final
answer as x=# without any space. Example: x=35 If there are two possible
values of x, write the final answer as follows: x=35 and x=36) *
The value of x is 12
The dimensions of the rectangle are given as:
The area is given as:
The area of a rectangle is:
So, we have:
Expand
Subtract 150 from both sides
Factorize the above equation
Solve for x
or
The value of x cannot be negative.
So, the value of x is 12
Read more about areas at:
Answer:
The only possible value of x is 12
Step-by-step explanation:
The rectangular shape has an area of 150 square units. The sides of the rectangle measures (x + 3) and (x - 2). The value of x can be computed below
area of a rectangle = length × breadth
area = 150 unit²
The sides are (x + 3) and (x - 2)
Therefore,
(x + 3)(x - 2) = 150
x² -2x + 3x - 6 = 150
x²+ x - 6 = 150
x²+ x - 6 - 150 = 0
x²+ x - 156 = 0
(x - 12)(x + 13) = 0
Therefore,
x = 12 or x = -13
It cannot be - 13 because the sides cannot result to negative . We are left with only 12.
x = 12
The only possible value of x is 12