The length of Sally's garden is 4 meters greater than 3 times the width. The perimeter of her garden is 72 meters. What are the dimensions of Sallly's garden?
2(4+3w)+w+w=72
8+6w+w+w=72
8+8w=72
-8 -8
8w=64
8w/8=64/8
w=8
BUT: You still need 1 more step to get your answer.
Plug your answer in:
4+3(8)=l
4+24=l
28=l
So the demensions of the garden are:
Width: 8 meters
Length: 28 meters
To find the dimensions of Sally's garden, we can set up a system of equations using the given information.
Let's assume that the width of Sally's garden is "w" meters.
According to the given information, the length of Sally's garden is 4 meters greater than 3 times the width. So, the length can be represented as 3w + 4 meters.
The perimeter of a rectangle is given by the formula: 2(length + width). In this case, it is equal to 72 meters.
So, we have the equation: 2(3w + 4 + w) = 72
To solve this equation, we can start by simplifying it:
2(4w + 4) = 72
8w + 8 = 72
8w = 72 - 8
8w = 64
Next, divide both sides of the equation by 8:
w = 64/8
w = 8
Now that we have the value of the width, we can substitute it back into the expression for the length of Sally's garden:
Length = 3w + 4
Length = 3(8) + 4
Length = 24 + 4
Length = 28
Therefore, the dimensions of Sally's garden are width = 8 meters and length = 28 meters.
Let's assume the width of Sally's garden is "w" meters.
According to the given information, the length of Sally's garden is 4 meters greater than 3 times the width, which can be expressed as:
Length = 3w + 4
The perimeter of a rectangle is calculated by adding the length and width and multiplying by 2. So, the equation for the perimeter is:
2(Length + Width) = 72
Substituting the values of length and width into the equation, we get:
2((3w + 4) + w) = 72
Simplifying the equation further:
2(4w + 4) = 72
8w + 8 = 72
Subtracting 8 from both sides:
8w = 64
Dividing both sides by 8:
w = 8
Therefore, the width of Sally's garden is 8 meters.
Substituting this value back into the equation for length:
Length = 3w + 4
Length = 3(8) + 4
Length = 24 + 4
Length = 28
Therefore, the dimensions of Sally's garden are 28 meters in length and 8 meters in width.