The area is 144 square feet the width is 1\4 of the length of the banner so what are the dimensions ?

width is 6 ft, length is 24 ft

Step-by-step explanation:

We can set up 2 equations to help us solve this.  

Equation 1:  "The area is 144 square feet"  gives us

                 LW = 144  (area of a rectangle)

Equation 2:  "the width is 1\4 of the length" give us

                 W = L/4            

We can plug the second equation into the first equation...

  Since W = L/4, we get

     L(L/4) = 144      (W becomes L/4)

Now solve for L

 L²/4 = 144

     L² = 624    (multiply both sides by 4)

        L = 24 ft    (take the square root of each side)

Since L = 24, and W = L/4,

  W = 24/6,    so W = 6 ft

22

step-by-step explanation:

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.