Question

click on the rectangle that has an area of 21 square units and a perimeter of 20 units. 6 3 4 7 5 4 6 2

Explanation:

Step1: Recall formulas for area and perimeter of a rectangle

The area of a rectangle is given by \( A = l \times w \) (where \( l \) is length and \( w \) is width), and the perimeter is given by \( P = 2(l + w) \).

Step2: Analyze the first rectangle (length=6, width=4)

• Area: \( 6 \times 4 = 24 \) square units (not 21).
• Perimeter: \( 2(6 + 4) = 20 \) units (perimeter matches, but area doesn't).

Step3: Analyze the second rectangle (length=7, width=3)

• Area: \( 7 \times 3 = 21 \) square units (area matches).
• Perimeter: \( 2(7 + 3) = 20 \) units (perimeter matches).

Step4: Analyze the third rectangle (length=5, width=4)

• Area: \( 5 \times 4 = 20 \) square units (not 21).
• Perimeter: \( 2(5 + 4) = 18 \) units (neither matches).

Step5: Analyze the fourth rectangle (length=6, width=2)

• Area: \( 6 \times 2 = 12 \) square units (not 21).
• Perimeter: \( 2(6 + 2) = 16 \) units (neither matches).

Answer:

The rectangle with length 7 and width 3 (the vertical green rectangle labeled with 3 and 7).