Question

triangle ABC with segment BD where point D is between points C and A, BC equals x, BD equals y, CD equals w, DA equals z, and BA equals v What expression represents the value of y? y equals the square root of quantity x times v end quantity y equals the square root of quantity w times z end quantity y equals the square root of quantity w times the sum of w plus z end quantity y equals the square root of quantity z times the sum of w plus z end quantity

Answer 1

Answer:

i would say the length is 8 and the width is 2

Step-by-step explanation:

note that : ( length = l ,   width = w   ,   area = a)

a = l x w - the area is 16 as given in the question, therefore:  

16 = l x w < - this is your 1st equation  

l = 4w - length is 4 times the width, this is your second equation  

take your second equation and substitute it into the first one:  

16 = 4w x w -> simplify this:  

16 = 4w^2  

divide both sides of the equation by 4 to isolate the w^2  

16 ÷ 4 = (4w^2) ÷ 4 -> this will equal to:  

4 = w^2  

now you want to get rid of '^2', you want to isolate w. to do this you need to find the square root of both sides of the equation  

√ 4 = √ w^2 -> this will equal to:  

2 = w  

now that you have the value of w just sub it into the first equation  

16 = l x w  

16 = l x 2  

16 ÷ 2 = l  

8 = l  

therefore the length is 8 and the width is 2