The area of a playground is 216 yd^2. the width of the playground is 6 yd longer than its length find the length and width.A. length=18, width=12
B. length=12, width=18
C. length=18, width=24
D.length=24, width=18

Answers

Answer 1
Answer:

Answer: B. length=12, width=18

Step-by-step explanation:

Let x = Length of the playground then width = x+6

Area of a rectangular playground = Length x width

Since , area of playground = 216\ yd^2.

Then , we have

216=(x)*(x+6)\n\n\Rightarrow\ x^2+6x\n\n\Rightarrow\ x^2+6x-216=0\n\n\Rightarrow\ x^2+18x-12x-216=0\n\n\Rightarrow\ x(x+18)-12(x+18)=0\n\n\Rightarrow\ (x-12)(x+18)=0\n\n\Rightarrow\ x=12\text{ or }x=-18

But length cannot be negative , so reject x= -18 .

Thus , the length of playground = 12 yd

Then , width = 12+6 = 18 yd

Hence, the correct answer is B. length=12, width=18

Answer 2
Answer: Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216

Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18

i.e length = 12 and width = 6 + 18 = 18

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Answers

Answer:

C: 36/3

Step-by-step explanation:

36 ÷ 3 = 12

We solve by using the total amount of dollars and dividing by how many CDs there are

Answer:C: 36/3

Step-by-step explanation:

36 ÷ 3 = 12

We solve by using the total amount of dollars and dividing by how many CDs there are

What is 6:12 in simplest form? A. 2:1 B. 1:2 C. 2 D. 12:6

Answers

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6/6 = 1

12/6 = 2

So 6:12 = 1:2

What is the square root of 16 times 3 times minus 54 times 3??
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Answers

-150
Square root of 16 times 3= 12
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12 times -162 is -1944.

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Answers

= (3/4 + 1/3)/(1/6 + 3/4)
= (3/4 + 1/3)/(1/6 + 3/4)
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=12(3/4+1/3) / 12(1/6 + 3/4)
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Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of reflectional symmetry. A line of symmetry will connect 2 vertices. A line of symmetry will connect a vertex and a midpoint of an opposite side. It has 7-fold symmetry. A line of symmetry will connect the midpoints of 2 opposite sides.

Answers

Answer:

A line of symmetry will connect a vertex and a mid point of an opposite side, it has 7 fold symmetry.

Step-by-step explanation:

When the figure can be folded over onto itself along a line. This line is called the "line of symmetry" and this exists for the rotational symmetry.

If we connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, we will obtain two equal halves.

Also, a heptagon has seven vertices, therefore it has 7 fold symmetry.

The true statements about the reflectional symmetry of a regular heptagon are:

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  2. it has 7 fold symmetry.

The line of symmetry of a shape divides the shape into equal segments

A regular heptagon has 7 sides.So, it has 7-fold symmetry

Also, the line of symmetry passes through the midpoint and meets the opposite vertex.

Hence, the true statements are: (b) and (c)

Read more about line of symmetry at:

brainly.com/question/547436

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Answers

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