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iren2701 [21]
2 years ago
5

Juan wants to change the shape of his vegetable garden from a square to a rectangle, but keep the same area so he can grow the s

ame amount of vegetables. The rectangular garden will have a length that is 2 times the length of the square garden, and the width of the new garden will be 16 feet shorter than the old garden. The square garden is x feet by x feet.
Old garden area = New garden area
x2 = (2x)(x – 16)
x2 = 2x2 – 32x
0 = x2 – 32x
What is the value of x that makes sense in this context?
What are the dimensions of the new garden?
Mathematics
1 answer:
irina [24]2 years ago
4 0

The value of x that makes sense in this context is; 32.

The dimensions of the new garden is; 64 by 16.

<h3>How to find the real dimensions of the rectangle?</h3>

The expression that represents the problem statement is;

x² = (2x)(x – 16)

Expanding the bracket gives us;

x² = 2x² – 32x

x² - 32x = 0

x(x - 32) = 0

Thus; x = 0 or x = 32

x can't be 0 and as such the value of x is 32.

Thus;

The length of the new garden is; l = 2x = 64.

The width of the new garden is; w = x - 16 = 32 - 16 = 16

The dimensions of the new garden are therefore; 64 by 16

Read more about Rectangle Dimensions at; brainly.com/question/17297081

#SPJ1

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the morgan famili and the alexander family each ised their sprinkles last summer. the water output was 20. l per hour. The water
erik [133]

Answer:

number of hours  Alexander family ‘s sprinkler work = 20

number of hours  Morgan family ‘s sprinkler work = 30

Step-by-step explanation:

Given in the question,

water output rate for the Alexander family ‘s sprinkler = 40 L  

water output rate for the Morgan family ‘s sprinkler = 20 L

Suppose, number of hours  Alexander family ‘s sprinkler work = x

Suppose, number of hours  Morgan family ‘s sprinkler work = y

Equation1

x + y = 50

Equation 2

40x + 20y = 1400

x = 50 - y

Put this value of x in equation 2

40(50-y) + 20y = 1400

2000 - 40y + 20y = 1400

-20y = 1400 - 2000

-20y = -600

y = 30

Put this value of y in equation 1 to get the value of x

x + 30 = 50

x = 50 - 30

x = 20

 

5 0
3 years ago
If lines m and n are parallel, and 5 measures 120o, which is the measure of 3?
Ierofanga [76]
If angle 3 is adjacent (right next to) angle 5, then its measure would be 60 degrees.  If angle 3 is congruent (vertical or alternate interior/exterior) to 5, it is 120.
3 0
3 years ago
Apply the distributive property to create an equivalent expression.<br> 1/5 (15+10k) =
ziro4ka [17]

Answer:

1/5(15+10k)

=1/5.15+1/5.10k

=3+2k

5 0
2 years ago
Read 2 more answers
Which of the following is not a Pythagorean triple?. . A.. 28, 45, 53. B.. 16, 63, 65. C.. 13, 84, 85. D.. 11, 61, 62.
Anna11 [10]
A set of numbers is said to be Pythagorean triple if the sum of the squares of the lesser numbers equal the square of the remaining number,

A. 28² + 45² = 2809    ;  53² = 2809     ; EQUAL
B. 16² + 63² = 4225    ;  65²= 4225      ; EQUAL
C. 13² + 84² = 7225    ;  85² = 7225     ; EQUAL
D. 11² + 61² = 3842    ;   62² = 3844     ; NOT EQUAL

The answer is letter D.
6 0
2 years ago
Read 2 more answers
In the diagram below, AC is perpendicular to BD. Find the value of N.
timurjin [86]
Hi there!

In order to find the value of N, we'll need to set the value of the angle containing the variable n equal to 90. This is because in perpendicular lines, all angles are equal to 90.

WORK:
5n - 25 = 90
5n = 115
n = 23
8 0
3 years ago
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