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almond37 [142]
3 years ago
15

One side of a square has endpoints (4.7) and (-3,5). What is the perimeter of the square?

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Answer:

= 4√53 units

that is option(a)

Step-by-step explanation:

all sides of the square are of the same length

so if we get the length if this side, we can calculate its perimeter

there's this formula,

<u>side length between two points, let's say A(x, y) and B(p, q), is equal to </u>

\mathsf{ \sqrt{ {(x - p)}^{2} +  {(y - q)}^{2}  } }

so here we go,

the same points A and B here are

(4, 7) and (-3, 5)

therefore, side length :-

= \mathsf{ \sqrt{( {7 - 5})^{2}  +  {(4 - ( - 3))}^{2} } }

=  \mathsf{ \sqrt{ {2}^{2} +  {7}^{2}  } }

=  \mathsf{  \sqrt{4 + 49}  }

=   \mathsf{\sqrt{53} }

the side length comes out to be <u>√(</u><u>53</u><u>) </u>

now perimeter of a square is

4 × side length

= 4√53 units

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