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?

The area of rectangle is 91 square meters.Step-by-step explanation:Let, Width of rectangle = wLength of rectangle = 2w-1Perimeter of rectangle = 40 metersPerimeter = 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 metersLength = 2w -1 = 2(7)-1Length = 13 metersArea of rectangle = Length * width[tex]Area\ of\ rectangle=13*7=91\m^2[/tex]The area of rectangle is 91 square meters.Keywords: rectangle, areaLearn more about rectangles at:brainly.com/question/10879401brainly.com/question/10940255#LearnwithBrainly