The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche
s.
Suppose the area of this rectangle is less than 12 square inches. Which of the following numbers could be the value of the unknown number? Select all that apply.
Suppose the area of this rectangle is less than 12 square inches. Which of the following numbers could be the value of the unknown number? Select all that apply.
1 answer:
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Answer:
The value of n = 4 and
The value of x =
Step-by-step explanation:
Method I:
As given, 12x -20=n (3x-5) .........(1)
Firstly , take 12x - 20
As 12x - 20 can be written as 4(3x - 5)
∴ equation (1) becomes
4(3x - 5) = n (3x-5)
Divide the equation by (3x-5) , we get
4 = n
Method II:
As given, 12x -20=n (3x-5)
⇒12x - 20 = 3nx - 5n
⇒12x - 3nx = 20 - 5n
⇒3x(4 - n) = 5( 4 - n)
Divide the equation by (4-n) , we get
3x = 5
⇒ x =
∴ we get
n = 4 and x =
Now, check that value of n and x satisfies the equation or not
12() - 20 = 4( 3(
) - 5)
⇒4(5) - 20 = 4(5 - 5)
⇒20 - 20 = 4(0)
⇒ 0 = 0
Hence , we get
The values of x and n satisfies the equation
so, we get
n = 4 and x =