Question

The perimeter of a rectangle is 114 centimeters. the length is 6 centimeters less than twice the width. find the dimensions of the rectangle

Answer 1

Hey there,
Perimeter = 114 cm
Lets say that the width is 2x
Width = x
Length = 2x - 6
x + x + 2x - 6 + 2x - 6 = 114 cm
x + x + 2x + 2x = 114 + 6 + 6
6x =  126 cm
x = 126 / 6 
   = 21 cm
Width = 21cm 
Length = (21 x 2) - 6
            = 36cm

Hope this helps :))

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Answer 2

The dimensions of the rectangle are length is 36 cm and the width is 21 cm.

What is a rectangle?

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other. The dimensions of rectangle are length and width.

For the given situation,

The perimeter of a rectangle = 114 cm

Let l be the length of the rectangle, where

l = 2w - 6

Let w be the width of the rectangle

The formula of perimeter of the rectangle is

P = 2(l+b)

⇒ $114=2((2w-6)+w)$

⇒ $114=4w-12+2w$

⇒ $114=6w-12$

⇒ $6w=114+12$

⇒ $w=\frac{126}{6}$

⇒ w = 21

Now, l = 2w - 6

⇒ l = 2(21) - 6

⇒ l = 42-6

⇒ l = 36

Hence we can conclude that the dimensions of the rectangle are length is 36 cm and the width is 21 cm.

Learn more about the rectangles here

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