Question

1.If the perimeter of an equilateral triangle is 30 ft, what is the area?


25√3 sq. ft.

50√3 sq. ft.

2.Julius plans to fence in a small water hole. The fence will form a triangle as shown in the diagram. What is the total length of fence Julius needs to enclose the water hole?

https://clackamasweb.owschools.com/media/g_geo_ccss_2014/8/img_geou08l04_1.gif

289 feet

235 feet

5,400 feet

Answer 1

@algebra1squared

Answer 2

for number 1, we have,
perimeter of equilateral triangle= 30ft
or, sum of all sides = 30 ft
or, x+x+x= 30 ft ( since length of all sides is equal here and considering it x)
or, 3x = 30 ft
or x = 10 ft
now,
area of equilateral triangle = \[\sqrt{3}\div4\times x^{2}\]
\[\sqrt{3}\div4\times 10^{2}\]
= \[\sqrt{3}\div4\times100\]
\[\sqrt{3}\times25\]
\[25\sqrt{3}\]

Answer 3

for 2nd question, we have to fence a small pond in a triangular shape.
the given lengths of sides are 65 ft, 75 ft and 100 ft.
so,
length of fence to enclose it = perimeter of triangle
= sum of all sides
= (60+75+100) ft
= 235 ft

Answer 4

thank u