MATHEMATICS MIDDLE SCHOOL

Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to increase the area to 192 m2 by increasing the width and length by the
same amount. What will be the dimensions of the new garden?

Answers

Answer 1
Answer:

Answer: 16 m by 12 m.

Step-by-step explanation:

Given: The length of garden l = 13 m

The width of the garden w= 9 m

The area of the rectangular garden is given by :-

\text{Area}=l* w\n\Rightarrow\text{Area}=13*9\n\Rightarrow\text{Area}=117\ m^2

It she wants to increase the garden,  the dimensions of the new garden will be (13+x) m by (9+x) m , then according to the question we have :-

(13+x)\cdot(9+x)=192\n\Rightarrow\ 117+x^2+22x=192\n\Rightarrow\ x^2+22x=75\n\Rightarrow\ x^2+22x-75=0\n\Rightarrow\ x^2+25x-3x-75=0\n\Rightarrow\ x(x+25)-3(x+25)=0\n\Rightarrow\ (x+25)(x-3)=0\n\Rightarrow\ x=-25\ x=3

Since, x\neq-25

Hence, x=3

Therefore, the  dimensions of the new garden will be (13+3) m by (9+3) m=16 m by 12 m.

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A × 60=120 what does the a represent

Answers

In math, the word unknown is also called to the missing term of a number sentence. This missing term is a missing piece that has to be solved.
Let us have A x 60 = 120, since A has no numerical value, it is considered as the missing term. How can we get the value of the missing term? first, study the number sentence. Find out the rule, then apply it.
The value of A on the equation above is 2. Here's how:
A x 60 = 120
A=120÷60
A=2
The value A is 2, therefore the missing term is 2.
Are you serious? this is so easy. You can figure it out yourself

117 km : cm A 217 B 2.170 C 2 l .700 D 217.000

Answers

its "d" boi easy one kilometer is 100000 cm
the answer is D: 217,000 cm
1 km=100,000 cm
2.17 km=2.17×100,000=217,000 cm

Right and solve an equation that can be used to find the width of the backyard that is 120 feet long and has a perimeter of 330 feet

Answers

The width of backyard is 45 feet.

Step-by-step explanation:

Given,

Length of backyard = 120 feet

Perimeter of backyard = 330 feet

Width of backyard = w

Perimeter = 2(Length + Width)

330=2(120+w)\n330=240+2w\n330-240=2w\n90=2w\n2w=90

Dividing both sides by 2

(2w)/(2)=(90)/(2)\nw=45

The width of backyard is 45 feet.

Keywords: perimeter, division

Learn more about perimeter at:

#LearnwithBrainly

Describe the difference between an exact value and an approximation when finding square roots of numbers that are not perfect squares. Give an example of each.

Answers

Well, exact value is the real answer like there is not a remaining number. Approximation on the other hand is just an estimate or where the answer might be close to. Example can be square root of 25 is 5, but square root of 26 is 5 point something.

Final answer:

An exact value in square roots is the precise numerical value. It's typically computed from perfect squares. On the other hand, an approximation is given when dealing with numbers that aren't perfect squares and a precise square root cannot be calculated.

Explanation:

In mathematics, the terms exact value and approximation are often used when dealing with the concept of square roots and particularly, perfect squares.

An exact value is the precise numerical value of a square root. It's typically associated with perfect squares, as these can be exactly square rooted to a whole number. For instance, the square root of 25 (√25) is exactly 5 because 5*5 equals to 25.

On the other hand, an approximation is used when dealing with numbers that aren't perfect squares, and an exact square root cannot be found. For example, the square root of 10 (√10) cannot be expressed precisely as a whole or even as a simple fraction, so it is approximately 3.16.

It's important to understand the differencebetween these two concepts, especially when solving different mathematical problems.

Learn more about Square Roots here:

brainly.com/question/1540542

#SPJ2

What is 640 times 3. Solve and then estimate.

Answers

well, the answer is 1920!

The width of the rectangle is 75% of its length, the length is 24, what's the area?

Answers

75% of 24 is 18 so the area is 432 units
S = a * b  where a - length and b - width
a = 24
b = 0.75 * a
S = 24 * 24 * 0.75 = 432
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