Question

question 2 of 10 find the perimeter of the square shown below. a(-1, 7) b(3, 4) d(-4, 3) c(0, 0)

Explanation:

Step1: Use distance formula for side length

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. For side $AB$ with $A(-1,7)$ and $B(3,4)$, we have $x_1=-1,y_1 = 7,x_2=3,y_2 = 4$. Then $d_{AB}=\sqrt{(3+ 1)^2+(4 - 7)^2}=\sqrt{16 + 9}=\sqrt{25}=5$.

Step2: Calculate perimeter of square

Since all sides of a square are equal and perimeter $P$ of a square is $P = 4s$ (where $s$ is side - length). Here $s = 5$, so $P=4\times5 = 20$.

Answer:

20