Studdy AI Logo
Math

QuestionA garden has a perimeter of 48 meters. Its length is twice the width. Find the length and width of the garden.

Studdy Solution

STEP 1

Assumptions1. The garden is rectangular in shape. . The length of the garden is twice its width.
3. The perimeter of the garden is48 meters.

STEP 2

The formula for the perimeter of a rectangle is given byPerimeter=2×(Length+Width)Perimeter =2 \times (Length + Width)

STEP 3

We know that the length of the garden is twice its width. Let's denote the width as 'w'. Then the length would be '2w'.

STEP 4

Substitute the values of length and width in terms of 'w' into the perimeter formula.
48=2×(2w+w)48 =2 \times (2w + w)

STEP 5

implify the equation.
48=2×3w48 =2 \times3w

STEP 6

olve for 'w' by dividing both sides of the equation by6.
w=48/6w =48 /6

STEP 7

Calculate the value of 'w'.
w=48/6=w =48 /6 =So, the width of the garden is meters.

STEP 8

Now, we can find the length of the garden by multiplying the width by2.
Length=2×WidthLength =2 \times Width

STEP 9

Substitute the value of the width into the equation to find the length.
Length=2×8Length =2 \times8

STEP 10

Calculate the length of the garden.
Length=2×8=16Length =2 \times8 =16So, the length of the garden is16 meters.
The dimensions of the garden are16 meters by8 meters.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord