Question

graph rectangle hijk with vertices h(0, 1), i(4, 1), j(4, -2), and k(0, -2).
what is the perimeter of rectangle hijk?

Explanation:

Step1: Find length and width

For a rectangle with vertices \( H(0, 1) \), \( I(4, 1) \), \( J(4, -2) \), \( K(0, -2) \):

• Length (horizontal side): Distance between \( H \) and \( I \). Since \( y \)-coordinates are same, length \( l = |4 - 0| = 4 \).
• Width (vertical side): Distance between \( I \) and \( J \). Since \( x \)-coordinates are same, width \( w = |-2 - 1| = 3 \).

Step2: Use perimeter formula for rectangle

Perimeter of rectangle \( P = 2(l + w) \).
Substitute \( l = 4 \) and \( w = 3 \):
\( P = 2(4 + 3) = 2\times7 = 14 \).

Answer:

The perimeter of rectangle \( HIJK \) is \( 14 \).