Question

If the area of a rectangular field is 21x²-7x and of its side is 7x, what is the length of the other side?​

Answer 1

Answer:

3x-1

Step-by-step explanation:

For Explanation, Refer to the attachment.

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Answer 2

$\sf\huge\bold{Answer:}$

Given :

Area of a rectangular field = 21x²-7x

One side of rectangular field = 7x

To find :

The other side of rectangular field

Solution :

Let the other side be y

$\sf{Area\:of\:Rectangle=Length×Breadth}$

Step 1 : Insert values of all the functions

$:⟶21 {x}^{2} - 7x = (7x) \times y$

Step 2 : Simplifying equation by dividing 7x to opposite side.

$:⟶ \frac{21 {x}^{2} - 7x }{7x} = y$

Step 3 : Taking 7x common from numerator

$:⟶ \frac{7x(3x - 1)}{7x} = y$

Step 4 : Cutting 7x in both numerator and denominator.

${:⟶}$$\displaystyle{\sf { \cancel{ \frac{7x}{7x} }}}$$(3x - 1) = y$

$:⟶y = 3x - 1$

The other side is 3x-1.