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.

answer: idk wbu

step-by-step explanation: umm..

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92