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Dmitry [639]
3 years ago
8

What are the dimensions of a rectangle with an area of 12 square cm and a perimeter of 14 cm?

Mathematics
2 answers:
miskamm [114]3 years ago
6 0

Answer:

4cm length 3cm height

Step-by-step explanation:

kow [346]3 years ago
5 0

Answer:

For the rectangle

Length=ℓ

Breadth=b

Area is 12 cm2

ℓb=12

Perimeter is 16 cm

2(ℓ+b)=16

ℓ+b=8

Substitute b=12ℓ from first equation

ℓ+12ℓ=8

ℓ2+12=8ℓ

ℓ2−8ℓ+12=0

Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ

ℓ=−(−8)±√(−8)2−(4×1×12)2×1

ℓ=8±√162

ℓ=8±42

ℓ1=8+42=6

ℓ2=8−42

Step-by-step explanation:

For the rectangle

Length=ℓ

Breadth=b

Area is 12 cm2

ℓb=12

Perimeter is 16 cm

2(ℓ+b)=16

ℓ+b=8

Substitute b=12ℓ from first equation

ℓ+12ℓ=8

ℓ2+12=8ℓ

ℓ2−8ℓ+12=0

Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ

ℓ=−(−8)±√(−8)2−(4×1×12)2×1

ℓ=8±√162

ℓ=8±42

ℓ1=8+42=6

ℓ2=8−42

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Paul is three times as old as Mary and Peter is four times as old as Mary,If the sum of their ages is 64, how old are Peter,Paul
uysha [10]
Let Mary's age be x.

Paul is three times as old as Mary, so Paul's age would be 3x.

Peter is four times as old as Mary, so Peter's age would be 4x.

The sum of their ages is 64
⇒ Paul's age+ Peter's age+ Mary's age= 64
⇒ 3x+ 4x+ x= 64
⇒ 8x= 64
⇒ x= 64/8
⇒ x= 8

Paul's age is: 3x= 3*8= 24

Peter's age is: 4x= 4*8= 32

Final answer: Paul is 24 years old.
Peter is 32 years old.
Mary is 8 years old.

Hope this helps~
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Answer:

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Step-by-step explanation

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48 divided by 2=24

24x2=48

4x10=40

8x4=32

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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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