Arectangle has an area of x3 + 5x2 + 5x – 2 square meters and a width of x + 2 meters. find its length.

a) x2 + 5x – 4 meters
b) x2 +3x – 1 meters
c) x2 + 7x – 9 meters
d) x2 + 3x + 1 meters

Step-by-step explanation:

Given : Area of rectangle :

            Width :

To Find : Length

Solution :

Formula of area of rectangle :

Substituting the given values in formula to calculate Length.

---(A)

Solving this equation using Formula :

Dividend = (Divisor * Quotient) +Remainder

Since dividend is

Divisor is  

Thus ,

⇒

⇒

⇒

Thus the quotient is

So, A becomes

Hence Length of Rectangle is  

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.