Asquare has a side length of x. a rectangle has a length that is 4 inches longer than the square and a width that is 2 inches shorter than the square. if the areas of the square and rectangle are equal, what is the length of the rectangle?

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) =   ...equation (i)

Length of the rectangle =

Width of the rectangle =

Area of the rectangle =Length * Width

⇒

⇒          ...equation  (ii)

Equating both the equation as area of both the figure are equal.

⇒

⇒     ...subtracting both sides

⇒           ...dividing both sides with 2

⇒ inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒

So the length of the rectangle = 8 inches.

7

step-by-step explanation:

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get