The triangular gable on this structure is 16 feet tall. The area of the gable is 192 ft. What is the length of the base? A) 21 feet 16 ft B) 24 feet C) 28 feet a D) 23 feet

The triangular gable on this structure is 16 feet tall The area of the gable is 192 ft What is the length of the base A 21 feet 16 ft B 24 feet C 28 feet a D 23 class=

Respuesta :

We will find the length of the base as follows:

[tex]A=\frac{b\cdot h}{2}[/tex]

Now, we replace the values and solve for b:

[tex]192=\frac{b\cdot(16)}{2}\Rightarrow b=\frac{192\cdot2}{16}[/tex][tex]\Rightarrow b=24[/tex]

So, the base has a length of 24 ft [Option B].

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