A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?

A) 2 inches and 36 inches
B) 4 inches and 18 inches
C) 8 inches and 9 inches
D) 11 inches and 11 inches

IT IS NOT D, I TRIED IT AND IT DOESNT WORK!

Answers

Answer 1
A rectangle has a perimeter of 44 inches and an area of 72 square inches.Perimeter = 44 inches, area = 72 square inches.Let the length and breadth be l and b respectively.We know, perimeter of a rectangle = 2(l + b)Therefore,2(l + b) = 44

or, l + b = 22

or, b = 22 - l ...(i)

We know, area of a rectangle = lbTherefore,lb = 72Putting (i) in b, we getl(22 - l) = 72

or, 22l - l^2 -72 = 0

or, l^2 - 22l + 72 = 0

or, l^2 - 4l - 18l + 72 = 0

or, l(l - 4) - 18(l - 4) = 0

or, (l - 4)(l - 18) = 0

or, l = 4 or l = 18

Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.

Answer:

B) 4 inches and 18 inches.

Hope you could get an idea from here.

Doubt clarification - use comment section.


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Answer:

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Step-by-step explanation:

If the bigger triangle has the two congruent sides measuring 20, then the ratio of the bigger to the smaller is 20/5.6 This means that the ratio between the third side of the bigger to the third side of the smaller is 20/5.6

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A _______ is a variable, an integer or a product of variables and
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Answer:

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Step-by-step explanation:

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Answer:

  (d)  3/5

Step-by-step explanation:

The equation ...

  [tex]\dfrac{3}{5(x-4)} =\dfrac{x}{x-4}[/tex]

can be rewritten so that each side has the same denominator. Then the solution can be found by equating the numerators.

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Answer:

I feel like all of them are wrong, but C. is the one that's closes to being right.

Step-by-step explanation:

As you see, C is the closest to the answer.

x=1 y=2 z=3

So...

1+2=3

2-3=1

^

Is that right?

No, but that one is the only error, the other equations also have errors.

So if there's a button that says none of the above, pick that.

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1 lap = 400 meters

Therefore, we can use something called "dimensional analysis" to convert from laps to meters. We use equivalent quantities to do so. Since 1 lap = 400 meters, we can say

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8 laps = 3200 meters

Find the difference.

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A. 15 and one-third
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Answers

Answer:

C. 14 and 2/3

Answer:

C

Step-by-step explanation:

17 - 2 1/3

17 -2 -1/3

15 -1/3

14 2/3

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Answer:

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Explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The area is the product of length and width. Fill in the given information in the formula and solve for length.

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Answers

Answer:

w=3

Step-by-step explanation:

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Answer:

Maria's book was 8 days late

Step-by-step explanation:

According to the information given, you can write an equation that states that 15¢ multiply for the number of days that the book was late plus $2 is equal to $3.20:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The unit price would be the price of one pair of gloves.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

I did it with the standard to slope again!

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When y=0, x=7

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Answers

Answer:

B)29

Step-by-step explanation:

[tex] {x}^{2} = {21}^{2} + {20}^{2} [/tex]

[tex] {x}^{2} = 441 + 400[/tex]

[tex] {x}^{2} = 841[/tex]

[tex]x = \sqrt{841} [/tex]

[tex]x = 29[/tex]

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the two legs, that is

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Answers

Answer:

ADB=50°

Step-by-step explanation:

Angles subtended by the same segment are equal

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What are the angles?

An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points.

Here given that ∠[tex]ACB=50[/tex] degree and we know alternates angles are equal so ∠[tex]CAD=50[/tex] degree.

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∠[tex]ADO=180-140[/tex]

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or

∠[tex]ADB=40[/tex] degree.

Hence, the angle ∠[tex]ADB=40[/tex] degree.

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f-1(x) =


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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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