An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 290 feet of If
antique picket fencing are to be used to enclose the garden, find the dimensions of the garden.
What is the length of the garden?
The length of the garden is
What is the width of the garden?
The width of the garden is

Respuesta :

In order to enclose the garden's perimeter, vintage fence will be used. The perimeter of a rectangle-shaped garden is equal to the sum of the garden's two lengths and two widths.

Do the length and breadth calculations?

In order to enclose the garden's perimeter, vintage fence will be used. The perimeter of a rectangle-shaped garden is equal to the sum of the garden's two lengths and two widths.

According to their estimates, our perimeter fence measures 220 feet, hence 220 = 2L + 2W.

We can make this more manageable if we divide everything by two: 110 = L + W

The width is now specified as being "exactly two-thirds of the length."

In math, the letter "=" equals the word "IS". Consequently, "the width is" becomes "W =," and "the two-thirds of the length" is precisely what it says, "(2/3) L."

W = (2/3)L is the result of adding these.

and we will add this W to the formula above (110 = L + W) to make 110 = L + (2/3)L.

If we substitute L with (3/3) L (that is, 1*L with 1 written 3/3) now we can add (3/3) as adding fractions requires a "common denominator."

L + (2/3)

L = (5/3)L

At this point, our equation is 110 = (5/3)L.

The right side (3/5) is now multiplied by the reciprocal on both sides, yielding (3/5)(110) = (3/5)(5/3)

L66 = L and W=2/3

L = (2/3)(66) = 44 = W

66 feet by 44 feet are the measurements of the square flower garden.

To learn more about Lengths refer to:

https://brainly.com/question/2217700

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