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  

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.