A rectangle has an area of 104 square centimeters and a width of 8 centimeters. What is the perimeter?

13 centimeters
26 centimeters
34 centimeters
42 centimeters

Respuesta :

Answer:

[tex]\huge\boxed{\sf P = 42 \ cm}[/tex]

Step-by-step explanation:

Given:

  • Area = 104 cm²
  • Width = 8 cm

Formulas to be used:

  • Area = Length × Width
  • Perimeter = 2Length + 2Width

Solution:

Finding length:

Area = Length × Width

104 = Length × 8

Divide 8 to both sides

104/8 = Length

13 cm = Length

Length = 13 cm

Finding Perimeter:

P = 2Length + 2Width

P = 2(13) + 2(8)

P = 26 + 16

P = 42 cm

[tex]\rule[225]{225}{2}[/tex]