Question

scratch area (not part of answer) perimeter: units area: square units

Explanation:

Step1: Calculate the length and width

From the graph, the length \( l \) of the rectangle is \( 7 - (- 2)=9 \) units (vertical side), and the width \( w \) is \( 1-(-1) = 2 \) units (horizontal side).

Step2: Calculate the perimeter

The formula for the perimeter \( P \) of a rectangle is \( P=2(l + w) \). Substitute \( l = 9 \) and \( w = 2 \) into the formula: \( P=2\times(9 + 2)=2\times11 = 22 \) units.

Step3: Calculate the area

The formula for the area \( A \) of a rectangle is \( A=l\times w \). Substitute \( l = 9 \) and \( w = 2 \) into the formula: \( A=9\times2=18 \) square units.

Answer:

Perimeter: \( 22 \) units
Area: \( 18 \) square units