Question

The length of a garden is 2 meters more than its width. If the perimeter is 20 m, what are the dimensions of the garden?

pick your answer from the choices below:

o 18 m by 2 m
o 6 m by 4 m
o 8 m by 4 m
o 8 m by 2m

Answer 1

Answer:

8m by 4m

Step-by-step explanation:

let the width be x

let the length be x+2 ( length is 2 more than its width)

perimeter = 20m ( given)

perimeter of rectangle = 2(l+b)

20 = 2 (x+2+x)

20 = 2 (2x+2)

20/2 = 2x+2

10 = 2x+2

10-2 = 2x

8 = 2x

8/2 = x

4 = x

hence the width be 4m

AND

the length be 2x

= 2*4

= 8m

AND

THEIR DIMENSIONS ARE 8meter by 4 meter

Answer 2

To find : dimensions of rectangular garden .

Given : length of garden is $2$ m more than its width.

            Perimeter = $20$ m

Solution :

• According to question we are given that length of garden is $2$ m more than its width and its perimeter is $20$ m .  

• Let , width of garden be $x$ and length be $( x + 2 )$ m.
• To find perimeter we use following formula -

       Perimeter of rectangular garden  = $2 ( l + b )$

• Substituting the values we get,

        $20 = 2 ( x + 2 + x )\ m \\20 = 2 ( 2x + 2 )\ m \\10 = (2x + 2 )\ m\\2x = 8 \\x = 4m$

• Now , width = $x = 4\ m$

                  length = $x + 2m = (4 + 2)m = 6\ m$

Hence, length and width of rectangular garden are $6m$ and $4m$ respectively .