Answer:21
Step-by-step explanation:
if there are 21 feet of ribbon and we need it in foot long pieces there are 21
Area=legnth times width
width=2/3 legnth
w=2/3l
a=lw
subsitute
a=l(2/3l)
a=864
864=2/3l^2
multiply both sides by 3/2 to clear fraction
2592/2=l^2
1296=l^2
square root both sides
36=legnth
width=2/3 legnth
width=2/3 times 36
width=72/3=24
legnth =36 feet
width=24 feet
In this case they would want to put the fountain exactly in the middle of the triangle, since "equidistant" in this case means "equally distant", and this occurs at the exact center of the triangle.
We can see that both triangles are right angle triangle as per information given into picture. So we will prove that they are similar then use properties of similar triangle to find the value of d.
In triangle STV and triangle XWV:
∠STV = ∠XWV { both are equal to 90 degree}
∠TVS = ∠WVX { vertically opposite angles are equal}
Hence by AA (Angle Angle) similarity postulate of the triangles, It is proved that triangle STV and triangle XWV are similar.
We know that ratio of corresponding sides of similar triangles are equal so we can write:


350*180=400d
63000=400d
divide both side by 400
157.5=d
Hence final answer is d=157.5 m.