Question

Here is my question again:

Answer 1

`\sqrt[2]{3}`

`\sqrt[4]{3}`

Explanation:

A garden is in a shape of an equilateral triangle with side 4 ft.

The objective is to find the area of the garden.

The formula to find the area of the triangle is, A= 1/2• b • h

Here, b represents the side of the triangle and h represents and h represents the height of the triangle.

The height of an equilateral triangle can be calculated by,

H = /3/2 • b

= /3/2 • 4

=

`\sqrt[2]{3}`

Now substitute the value of b and h in the formula of area of triangle.

A = 1/2 • 4 •

`\sqrt[2]{3}`

=

`\sqrt[4]{3}`

ft²

Answer 2

• 4 and
  `2√(3)`

Explanation:

Base of the triangle is:

• b = 4

Height of the triangle:

• h =
  `√(4^2 - (4/2)^2)` =
  `√(16 - 4)` =
  `√(12)` =
  `2√(3)`

Area is:

• A = 1/2* 4*
  `2√(3)`