Answered

The length of a rectangle is 1 meter less than twice its width. The perimeter of the rectangle is 40 meters. What is the area of the rectangle?

Answer :

absor201

The area of rectangle is 91 square meters.

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = 2w-1

Perimeter of rectangle = 40 meters

Perimeter = 2(length + width)

[tex]40=2(2w-1+w)\\40=2(3w-1)\\40=6w-2\\40+2=6w\\42=6w\\6w=42[/tex]

Dividing both sides by 6

[tex]\frac{6w}{6}=\frac{42}{6}\\w=7[/tex]

Width = 7 meters

Length = 2w -1 = 2(7)-1

Length = 13 meters

Area of rectangle = Length * width

[tex]Area\ of\ rectangle=13*7=91\m^2[/tex]

The area of rectangle is 91 square meters.

Keywords: rectangle, area

Learn more about rectangles at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

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