Question

A triangular garden has an area of 144 ft² If the base is 8 ft long, what is the height? 9 ft 18 ft 36 ft 48 ft.

Answer 1

Explaination :

In the question it is given that a triangular garden has an area of 144 ft² and measure of its base is 8ft. So we would be simply using the formula of calculating the area of rectangle.

• 
  `\boxed{\sf{Area \: of \: triangle \: = \: (1)/(2) * l * b }} \: \red\bigstar`

Here,

• l is length
• b is breadth

To calculate :

• Height of the triangle? (i.e. length)

We have :

• length (l) = 8ft
• Area (A) = 144 ft²

Putting the values in formula :

`\implies \: \sf{144 = \: (1)/(2) * l * 8 } \\ \\ \implies \: \sf{144 = \: (1)/( \cancel2) * l * \cancel8 } \\ \\ \implies \: \sf{144 = \: (1)/(1) * l * 4 } \\ \\ \implies \: \sf{144 = \: l * 4 } \\ \\ \implies \: \sf{ l \: = \: (144)/(4) } \\ \\ \implies \: \sf{ l \: = \: \cancel(144)/(4) } \\ \\ \implies \: \sf{ l \: = \: (72)/(2) } \\ \\ \implies \: \sf{ l \: = \: \cancel(72)/(2) } \\ \\ \implies \: \sf{ l \: = \: (36)/(1) } \\ \\ \implies \: \red{\underline{\underline{\bf{ l \: = \: 36 }}}}`

Henceforth,

• Height is of 36 ft.

Answer 2

36 feet

Explanation:

Hello!

Recall that the formula for the area of a triangle is
`\frac12b*h`

That means the equations is 144 = 0.5(8 * h)

Solve:

• 144 = 0.5(8) * h
• 144 = 4 * h
• 144 = 4h
• 36 = h

The height is 36, but since the units are feet, it is 36 feet.