Question

Geometry the length of a rectangle is twice the width. find the width if the perimeter is 60 centimeters. define a variable, write an equation, and solve the problem.

Answer 1

length =2x
width=x
Perimeter=60
To find the perimeter you have to add all the sides
So it will look like this:

2x+x+2x+x=60
6x=60
x=60/6
x=10

The width of the rectangle is 10 cm

Answer 2

Let us assume that the width of the rectangle is x this implies that the lenght is 2x and perimeter is also given so we will use permeter formula to find it's width.

What is a rectangle ?

A rectangle is a 2D figure it has four sides and each parallel sides are of same lenght. The adjacent lines form right angles. Area of a rectangle can be obtained by multiplying it's lenght and width also perimeter can be obtained by taking sum of it's lenght and width and multiplying it by 2.

In the given question lenght is twice of the width and perimeter is given.

Assuming width to be x the lenght becomes 2x.

Perimeter of a rectangle = 2( lenght + width )

                                   60 = 2 ( 2x + x )

                                   60 = 2 ( 3x )

                                   60 = 6x

                                    x = 10 cm.

As we have assumed width to be x the value os x is 10cm so the width of the rectangle is 10cm.

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