Identify a variable, write an equation and solve algebraically. Answer

feminizmiki

feminizmiki

Answered question

2021-12-30

Identify a variable, write an equation and solve algebraically. Answer in a sentence. The length of a rectangular garden is 8 meters less that three times the width. If the garden's perimeter is 56 meters, what are the dimensions of the garden?

Answer & Explanation

Raymond Foley

Raymond Foley

Beginner2021-12-31Added 39 answers

Step 1
Let the length of the rectangular garden be x meters and width be y meters.
The first statement says length of garden is 8 meters less than three times the width. So the equation will be
x=3y8 (1)
Step 2
Now perimeter of the park is 56 meters then equation will be
2(x+y)=56
2(x+y)×12=56×12
x+y=28 (2)
Step 3
Now by the substitution rule we put the value of x from equation (1) to the equation (2)
(3y8)+y=28
3y+y8=28
4y8=28
(4y8)+8=28+8
4y=36
4y×14=36×14
y=364=9
Step 4
We put the value of y in equation (1)
x=3y8 (1)
x=3×98
x=278
x=19
Step 5
Answer: Length of the garden is 19 meters and width is 9 meters.
otoplilp1

otoplilp1

Beginner2022-01-01Added 41 answers

Heres
karton

karton

Expert2022-01-04Added 613 answers

Given: Width=x Length=2x-5 Perimeter=50 Perimeter=2 * length+2 * width Substitute: 50=2(2x-5)+2(x) Simplify: 50=4x-10+2x 50=6x-10 60=6x x=10 Substitute Width: x=10 So width =10 meters Length: 2x-5=2(10)-5 =20-5=15 So length =15 meters

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