A rectangle’s perimeter and its area have the same numerical value. The width of the rectangle is 3 units. What is the length of the rectangle in units?
A) 12
B) 1.5
C) 3
D) 6

Respuesta :

Answer:

12

Step-by-step explanation:

3 x 4=12

A rectangle has 4 sides each the same length, 3, so multiply 3 x 4 and you get 12.

The area and perimeter of a rectangle depend on its length and width.

The length of the rectangle is 3 Units. Option C shows the correct value of the length of a rectangle.

What is the area and perimeter of a rectangle?

  • Area

The area of a rectangle is the product of the length and width of the rectangle.

Area  = Length [tex]\times[/tex] Width

  • Perimeter

The perimeter of a rectangle is the total sum of length and width of all sides.

Perimeter = 2 (Length + Width)

Given Information:

A rectangle’s perimeter and its area have the same numerical value. The width of the rectangle is 3 units. So we can write this as,

Area = Perimeter

Length [tex]\times[/tex] Width = 2 (Length + Width)

Substituting the value of the width, we get the length,

[tex]L \times 3 = 2 (L + 3)[/tex]

[tex]3L = 2L + 6[/tex]

[tex]L = 6[/tex]

Hence we can conclude that the length of the rectangle is 3 Units. Option C shows the correct value of the length of a rectangle.

To know more about the area and perimeter of a rectangle, follow the link given below.

https://brainly.com/question/26526597.

Q&A Education