Question

name
homework

1. what is the distance between j (-6, -2) and h (2.5, -2)?

what is the perimeter of rectangle jklm, with vertices
j(-1, 3), k(2, 3), l(2, -5), and m(-1, -5)?
likki drew a rectangle with a perimeter of 18 uni
4 (-3) and (-1, -3). which

Explanation:

Step1: Calculate the length of side JK

Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). For points \(J(-1,3)\) and \(K(2,3)\), \(x_1=-1,y_1 = 3,x_2=2,y_2 = 3\).
\(JK=\sqrt{(2-(-1))^2+(3 - 3)^2}=\sqrt{(3)^2+0^2}=3\)

Step2: Calculate the length of side KL

For points \(K(2,3)\) and \(L(2,-5)\), \(x_1 = 2,y_1=3,x_2=2,y_2=-5\).
\(KL=\sqrt{(2 - 2)^2+(-5 - 3)^2}=\sqrt{0+(-8)^2}=8\)

Step3: Use the perimeter formula for a rectangle \(P=2(l + w)\)

Here \(l = 8\) (length \(KL\)) and \(w = 3\) (width \(JK\)).
\(P=2(3 + 8)=2\times11 = 22\)

Answer:

The perimeter of rectangle \(JKLM\) is \(22\) units.