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: $\bold{4\sqrt2}$

Step-by-step explanation:

$A_{triangle}=\bigg(\dfrac{1}{2}\bigg)b\times h$

$A_{triangle}=\bigg(\dfrac{1}{2}\bigg)4\times 16$

              $=\bigg(\dfrac{1}{2}\bigg)64$

              $=32$

$A_{square}= s^2$

$32 = s^2$

$\sqrt{32}=s$

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

$2\cdot 2\sqrt{2}=s$

$4\sqrt{2}=s$