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BigorU [14]
3 years ago
11

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

Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0

Answer: \bold{4\sqrt2}

<u>Step-by-step explanation:</u>

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


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