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3 years ago

David currently has a square garden. He wants to redesign his garden and make

Mathematics

2 answers:

masya89 [10]3 years ago

8 0

Answer:

Width=11 feet

Length = 19 feet

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations :

2 L +2 W =60 (perimeter of a rectangle equals to 60)
L =2W-3 (length that is 3 feet shorter than twice its width)

Where:

<em>L= length </em>

<em>W= width </em>

Replacing the value of L in the perimeter equation:

2(2W-3) +2W =60

4W -6+2W=60

4W+2W=60+6

6W=66

W=66/6

W=11

Replacing the value of W in the length equation:

L= 2(11)-3

L=22-3

L=19

Blizzard [7]3 years ago

4 0

Answer:

Hence new dimension of new garden is 27 by 51

Step-by-step explanation:

Initial dimension of his square garden = X by X

Final dimension of his rectangular garden = L by B

Perimeter of his garden = 60 = 4X

Hence X = 60/4 = 15 ft

Area of the square garden = 15 x 15 = 225 ft²

New garden dimensions

L + 3 = 2W-----------------Eqn 1

2(L+W) = 60---------------Eqn 2 (since both shapes have the same perimeter)

solving both equations simultaneously

From equation one L = 2W-3, it's now substituted into equation 2

from equation 2, 2L+2W= 60

Hence 2(2W-3) + 2W = 60

W = 27 ft

L= 2(27)-3= 51 ft

Hence length and breadth of new garden is 27 by 51

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3 years ago

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Answer:

Step-by-step explanation:

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IgorLugansk [536]

<h2>1. y-intercept</h2>

$\boxed{(0,-10)}$

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<h2>2. x-intercepts</h2>

$\boxed{(-1,0) \ and \ (5,0)}$

To find the other x-intercept, we must set $y=0$ as follows:

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Therefore, the other x-intercept is $(5,0)$ . You can see both the y-intercept and the x-intercepts in the figure below.

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