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Stolb23 [73]
3 years ago
14

An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 340 feet of antique

picket fencing are to be used to enclose
the garden, find the dimensions of the garden
Mathematics
1 answer:
KIM [24]3 years ago
7 0

Answer:

The dimensions of the garden is 102 feet by 68 feet

Step-by-step explanation:

Here, we want to get the width and length of the garden

The perimeter is represented by the length of the fencing

From the question;

w = 2l/3

The formula for the perimeter is;

P = 2(l + w)

Thus;

340 = 2(l + 2l/3)

170 = (l + 2l/3)

Multiply through by 3

510 = 3l + 2l

5l = 510

l = 102 feet

w = 2/3 * l

w = 2/3 * 102

w = 68 feet

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In order to calculate that distance, we need to know the
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Different maps are drawn with different scales.

4 0
3 years ago
Solve the system of equations. y= x + 17, y= 3x+1
Lemur [1.5K]

Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

7 0
3 years ago
Aaron borrows $150 from his friend Austin. He has to pay the money back in 4 monthly installments. Each month he wants to pay ha
Y_Kistochka [10]
Austin should pay $75 the first month, and 37.50 for the remaining of the 2 months
5 0
2 years ago
In triangle ABC, D is the midpoint of side AC and E is the midpoint of side BC.
cestrela7 [59]

Answer:

14

Step-by-step explanation:

Since all sides are half of greater triangle.Then 7 × 2 = 14 is length of greater hypotenuse.

Suppose two triangles with similar conditions

1^2+1^2=2

Hypotenuse=2^1/2

We assume another triangle which is exactly double of previous triangle I.e

2^2+2^2=8

Hypotenuse=2×2^1/2

Which is exactly twice of previous triangle.

Hence proved hyootenuse is double of smaller triangle I.e 14

8 0
3 years ago
What is the measure of angle x, help
Sergeeva-Olga [200]
Y = 180 - 51 -56 = 73

x = 180 - 73 - 72 = 35

x = 35 degrees
4 0
3 years ago
Read 2 more answers
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