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Elden [556K]
3 years ago
7

Dusty planted a rectangular garden that had a perimeter of 36 yards. the length of the garden is 6 feet longer than twice the wi

dth. what is the width of the garden in feet?be sure to convert the yards to feet.
Mathematics
1 answer:
ruslelena [56]3 years ago
6 0
P = 2(L + W)
P = 36 yds (if 1 yd = 3 ft, then 36 yds = 36 * 3 = 108 ft)
L = 2W + 6

108 = 2(2W + 6 + W)
108 = 2(3W + 6)
108 = 6W + 12
108 - 12 = 6W
96 = 6W
96/6 = W
16 = W......width = 16 ft

L = 2W + 6
L = 2(16) + 6
L = 32 + 6
L = 38 ....length = 38 ft
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Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

\huge{3q+4+9=-14}

We can add 4 and 9 together.

\huge{3q+13=-14}

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

\huge{3q+13-13=-14-13}\\\huge{3q=-27}

We are reaching to the final step where we divide the whole equation by 3.

\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

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Step-by-step explanation:

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