The length of a rectangle is 7 meters longer that it’s width. What is the width of this rectangle if it’s perimeter is equal to 98 meters

Respuesta :

The width of rectangle is 21 meters.

Step-by-step explanation:

Given,

Perimeter of rectangle = 98 meters

Width of rectangle = w

Length of rectangle = w+7

Perimeter of rectangle = 2(Length+Width)

Perimeter = [tex]2(w+7+w)[/tex]

[tex]98=2(2w+7)\\98=4w+14\\98-14=4w\\84=4w\\4w=84[/tex]

Dividing both sides by 4

[tex]\frac{4w}{4}=\frac{84}{4}\\w=21[/tex]

Width of rectangle = 21 meters

The width of rectangle is 21 meters.

Keywords: rectangle, perimeter

Learn more about perimeter at:

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