contestada

The area of a rectangular wall of a barn is 12 square feet. Its length is 14 feet longer than the width. Find the length and width of the wall of the barn.

Respuesta :

whitneytr12

Answer:

w = 0.81 ft

l = 14.81 ft

Step-by-step explanation:

The equation of the area of a rectangle is given by:

[tex]A_{r}=l*w[/tex]

But we know that l=14+w and [tex]A_{r}=12 ft^{2}[/tex]

So we will have:

[tex]12=(14+w)*w=14w+w^{2}[/tex]

[tex]w^{2}+14w-12=0[/tex]  

Solving this quadratic equation we have:

w = 0.81 ft

We just take the positive solution

So, the length will be l = 14 + 0.81 = 14.81 ft

I hope it helps you!

Otras preguntas