Aparallelogram with a height of 2x+3 has an area of 2x^2+13x+15. what is the length of the base of the parallelogram? show work.

Answer : The length of the base of the parallelogram is,

Step-by-step explanation :

As we know that:

Area of parallelogram = Height × Base

Given:

Height of parallelogram =

Area of parallelogram =

Now put all the given values in the above formula, we get:

Area of parallelogram = Height × Base

= × Base

Base =

Now factorize this expression , we get:

Base =

Base =

Base =

Base =

Therefore, the length of the base of the parallelogram is,

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point