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3 years ago

The length of a rectangle is 2m more that it's width. The perimeter is 60m. What is its width?

Mathematics

2 answers:

Vsevolod [243]3 years ago

8 0

Answer:

Step-by-step explanation:

Width = x

Length = x +2

Perimeter = 60 m

2*(length + width) = 60

2*(x + 2 + x) = 60

2*(2x + 2) = 60

2x + 2 = 60/2

2x + 2 = 30

2x = 30-2

2x = 28

x = 28/2

x = 14

Width = 14 m

Length = 14+ 2 = 16 m

Naddik [55]3 years ago

4 0

Answer: The width is 14m

Step-by-step explanation: The question has provided the perimeter as 60. The available clues are such that the length measures 2m more than it's width. This means whatever is the width of the rectangle, the length shall be equal to plus 2. Hence, if the width is W, the length is W + 2.

So we have,

Perimeter = 60

Length = W + 2 and

Width = W

Already the perimeter is given as

Perimeter = 2(L + W)

We can now express the perimeter as follows;

60 = 2(W + 2 + W)

60 = 2(2 + 2W)

By cross multiplication we now have

60/2 = 2 + 2W

30 = 2 + 2W

Subtract 2 from both sides of the equation

28 = 2W

Divide both sides of the equation by 2

14 = W.

Remember that the length is given as W + 2, so the length becomes

14 + 2 = 16

Therefore, the width equals 14 m.

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3 years ago

Write an equation of the line that passes through point (-8, – 5) and has the slope m= - 1/4 y=

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Answer:

y= -1/4x + 3

Step-by-step explanation:

y-y1 = m(x-x1)

(-8 {x1}, -5 {y1}, -1/4 [m] )

We'll then replace the letters with the available figures.

y-[-5] = -1/4 (x-[-8])

We are made to know that minus + minus= plus

Minus + plus= Minus

Minus x minus = plus

minus x plus = minus

Therefore, the mathematical setting of this question becomes,

y+5 = -1/4 (x+8)

Multiply everything in the bracket with the outside value

-1/4 x X = -1/4x

-1/4 x 8 = -2

The mathematical setting then becomes,

y+5 = -1/4x + -2 (Note: plus + minus = minus)

so, it becomes

y+5 = -1/4x - 2

The equation is supposed to look like this, y= mx + b

Therefore we add +5 to both sides to cancel out

y+5 = -1/4x - 2

+5 +5

+5 cancels out +5 which makes the setting,

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The expression now looks like this

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$y= -1/4x + 3$

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1 year ago

a square painting has an area of 81x^2-90x-25. A second square painting has an area of 25x^2+30x+9. What is an expression that r

galina1969 [7]

Answer:

The answer in the procedure

Step-by-step explanation:

Let

A1 ------> the area of the first square painting

A2 ----> the area of the second square painting

D -----> the difference of the areas

we have

$A1=81x^{2}-90x-25$

$A2=25x^{2}+30x+9$

case 1) The area of the second square painting is greater than the area of the first square painting

The difference of the area of the paintings is equal to subtract the area of the first square painting from the area of the second square painting

D=A2-A1

$D=(25x^{2}+30x+9)-(81x^{2}-90x-25)$

$D=(-56x^{2}+120x+34)$

case 2) The area of the first square painting is greater than the area of the second square painting

The difference of the area of the paintings is equal to subtract the area of the second square painting from the area of the first square painting

D=A1-A2

$D=(81x^{2}-90x-25)-(25x^{2}+30x+9)$

$D=(56x^{2}-120x-34)$

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3 years ago

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This means $55 is the amount of money Chuy saves every week.

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Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.

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2 years ago

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3 years ago

The length of a rectangle is 2m more that it's width. The perimeter is 60m. What is its width?​

The length of a rectangle is 2m more that it's width. The perimeter is 60m. What is its width?