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vova2212 [387]
3 years ago
9

The area of a rectangle is 42 square inches and one side is 12 inches long. Find the perimeter of the rectangle. Show your work.

Mathematics
1 answer:
LenaWriter [7]3 years ago
7 0
I might not be correct but i think Perimeter=31. Since the problem tells me that the area is 42 square inches i divided the given area (42 inches) by the given side length (12 inches), and I got 3.5. I did this because the formula for area is a=lw therefore 12×3.5=42 inches. Now that I know the missing measurement of the other side length, I can plug the numbers I have into either one of these equations. 
P=SIDE++SIDE+SIDE+SIDE OR P=2(length)+ 2(width). Please let me know whether or not you understand or have any other questions I will be more than happy to answer. Later when you reach 9th grade and become a freshmen you will learn theorems that will help make it a little bit easier and they will also remove A LOT of the algebraic work that's required to solve questions such as this one. My name is Takira and I go to LaGuardia High School for Performing Arts. Please let me know if you have any more questions.
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The length of a rectangle is 4 cm more than the width. The are is 96 cm squared. Find the dimensions of the rectangle.
lozanna [386]

width = w

length = w+4

Area = l*w

substitute

96 = (w+4) *w

distribute

96 = w^2 +4w

subtract 96 from both sides

0 = w^2 +4w -96

factor

0=(w+12) (w-8)

w+12=0  w-8=0

w=-12  w=8

cannot have negative width

w=8

l=12

Answer:  width =8 cm

length = 12cm

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Answer:

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Step-by-step explanation:

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Jim makes the chart shown below to prove that Triangle APD is congruent to triangle BPC:
Oliga [24]

Answer:

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From the chart, it can be seen that Jim proved that two corresponding sides of both triangles are congruent and that the angle between those two sides for both triangles are also congruent.


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Step-by-step explanation:


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Find the solution to the system of equations -3x-9y=18 4x+3y=12
chubhunter [2.5K]

Answer:

(6,-4)

Step-by-step explanation:

-3x-9y = 18 (equation 1)

4x+3y = 12 (equation 2)

multiply equation 2 by 3, and add it to equation 2

-3x-9y = 18

12x+9y = 36

-----------------

X's cancel out

9x = 54

Divide both sides by 9

x = 6

Plug in 6 for x in any of the original equations

(Plugging into Equation 2)

4(6)+3y = 12       Multiply 4(6)

24+3y = 12         Subtract 24 from both sides

3y = -12              Divide 3 on both sides

y = -4

Therefore the solution is (6,-4).

6 0
3 years ago
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