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pashok25 [27]
3 years ago
5

An architect designs a rectangle flower garden such that the width is exactly two thirds of the length. If 310 feet of antique p

icket fencing are to be used to enclose the garden, find the dimension of the garden.
Mathematics
2 answers:
AlladinOne [14]3 years ago
4 0
Width = w
height = h

so w = (2/3) * h

(The perimeter surrounding it)
2w + 2h = 310

2((2/3) * h) + 2h = 310

4h/3 + 2h = 310

10h/3 = 310

10h = 930
h = 93 feet

w = (2/3) * 93

w = 62 feet
Airida [17]3 years ago
3 0

Answer:

The dimension of length is 93 feet and dimension of width is 62 feet.

Step-by-step explanation:

Consider the provided information.

Let W represents the width of the rectangle flower garden and L represents the length.

It is given that An architect designs a rectangle flower garden such that the width is exactly two thirds of the length.

This can be written as:

W=2/3L

It is given that the length of fence is 310 feet, that means the perimeter of the rectangle is 310.

Perimeter = 2(L+W)

Substitute the respective values in the above formula.

310 = 2(L+\frac{2}{3}L)

155 = L+\frac{2}{3}L

155 = \frac{3L+2L}{3}

155 = \frac{5L}{3}

465 = 5L

L= 93

Substitute the value of L in W=2/3L.

W=\frac{2}{3}\times 93

W=2\times 31

W=62

Hence, the dimension of length is 93 feet and dimension of width is 62 feet.

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