Question

find the perimeter and area of square efgh if each unit on the graph measures 1 centimeter. round answers to the nearest tenth, if necessary. g(3, -1) h(1, -3) f(5, -3) perimeter: cm area: cm² need help with this question? get a hint

Explanation:

Step1: Calculate side - length using distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Let's find the distance between $H(1,-3)$ and $G(3,-1)$.
$d=\sqrt{(3 - 1)^2+(-1+3)^2}=\sqrt{2^2 + 2^2}=\sqrt{4 + 4}=\sqrt{8}=2\sqrt{2}$ cm.

Step2: Calculate the perimeter of the square

The perimeter $P$ of a square with side - length $s$ is $P = 4s$. Since $s = 2\sqrt{2}$ cm, $P=4\times2\sqrt{2}=8\sqrt{2}\approx11.3$ cm.

Step3: Calculate the area of the square

The area $A$ of a square with side - length $s$ is $A=s^2$. Since $s = 2\sqrt{2}$ cm, $A=(2\sqrt{2})^2=8$ $cm^2$.

Answer:

perimeter: $11.3$ cm
area: $8$ $cm^2$