Question

If a 4 x 16 riangle has the same area as a square, what is the length of a side of the square

Answer 1

Answer:
`\bold{4\sqrt2}`

Explanation:

`A_(triangle)=\bigg((1)/(2)\bigg)b* h`

`A_(triangle)=\bigg((1)/(2)\bigg)4* 16`

`=\bigg((1)/(2)\bigg)64`

`=32`

`A_(square)= s^2`

`32 = s^2`

`√(32)=s`

`\sqrt{\underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot 2}=s`

`2\cdot 2√(2)=s`

`4√(2)=s`