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butalik [34]
3 years ago
10

What does it mean to find the point P on GK such that 3(GP)=2(PK

Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0
This means that point P lies on GK where the ratio between the length of GP to the length of PK is:
GP/PK = 2/3

To better understand this, assume that the length of GK is 5 cm. Applying the given ratio, we will find that:
GP = 2 cm and PK = 3cm
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a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l
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Answer:

The length of the rectangle is 9 cm

Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = \frac{1}{2} x cm a

Also, perimeter of rectangle is 24 cm.

Perimeter of rectangle is to add the lengths of all the four sides.

Perimeter of rectangle (P) is given by;

P=2(l+w)

Substituting the value of P = 24 cm , l = (x+3) cm and w =\frac{1}{2} x

then,  

24 = 2 (x+3+\frac{1}{2} x)

Divide by 2 both sides of an equation;

12 = x+3+\frac{1}{2}x

Combine like terms;

12 =\frac{3x}{2} +3

Subtract 3 from both the sides we get;

12-3 = \frac{3x}{2} +3-3

Simplify:

9 =\frac{3x}{2}

Multiply both sides by \frac{2}{3} we get

x = 9 \times \frac{2}{3} = 3 \times 2 = 6

Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm

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3 years ago
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maksim [4K]
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Read 2 more answers
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Answer:

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Step-by-step explanation:

Ok, so basically let's start with a proportion.

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Solving for variable 'x'.

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Answer:

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