The width of a rectangle is 9 in. shorter than its length. the area of the rectangle is 252 in². what is the length of the rectangle? enter your answer in the box. in

the length of the rectangle is, 21 in.

Step-by-step explanation:

Area of the rectangle(A) is given by:

          .....[1]

where,

l is the length of the rectangle

w is the width of the rectangle.

As per the statement:

The width of a rectangle is 9 in. shorter than its length.

⇒

It is also given that:

The area of the rectangle is 252 in².

⇒A = 252  in².

Substitute in [1] we have;

⇒

⇒

Factorize this equation:

Split the middle term;

⇒

⇒

⇒

By zero product property we have;

and

⇒ and

Since, length cannot be in negative

⇒

Therefore, the length of the rectangle is, 21 inches.

step-by-step explanation:

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