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You Are Planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to find the area of the garden to determine how much topsoil you will need. Substitute the values of b and h in the formula A = 1/2 • b • h for the area of the garden.

You Are Planting a garden in the shape of an equilateral triangle as shown in the diagram You want to find the area of the garden to determine how much topsoil class=

Respuesta :

Answer:

Area of the garden = 16[tex]\sqrt{3}[/tex] ft²

Step-by-step explanation:

Given:

Base of garden = 8 Ft

Find:

Area of the garden = ?

First, we have to find height of the triangle.

[tex]Height = \sqrt{8^2-4^2}\\\\Height = \sqrt{64-16}\\\\Height = \sqrt{48}\\\\Height = 4\sqrt{3}\\[/tex]

Computation of area of the garden:

Area of the garden = 1/2 × b × h

Area of the garden = 1/2 × 8 × 4[tex]\sqrt{3}[/tex]

Area of the garden = 16[tex]\sqrt{3}[/tex] ft²

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