the perimeter of a rectangular park is 550m. The length is 35m longer than the width. Find the length and width of the park
Let's call the width of the park "x".
According to the problem, the length is 35m longer than the width, so the length is:
x + 35
The perimeter is the sum of all four sides of the rectangle, so we can write the equation:
Perimeter = 2(Length + Width)
Substituting in the values we know:
550 = 2(x + 35 + x)
Simplifying:
550 = 2(2x + 35)
275 = 2x + 35
240 = 2x
x = 120
So the width of the park is 120m.
To find the length, we can use:
Length = Width + 35
Length = 120 + 35
Length = 155
So the length of the park is 155m.
Therefore, the dimensions of the park are:
Width = 120m
Length = 155m
polly is 28 years older than her duaghter molly. Pollys mother dolly is four times molly's age. The sum of their threw ages is 130. How old is molly
Let's start by using variables to represent their ages:
- Let's call Molly's age "M"
- Then, we know that Polly is "28 years older than her daughter", so her age is "M + 28"
- Finally, we know that Dolly is "four times Molly's age", so her age is "4M"
We also know that "the sum of their three ages is 130", so we can write an equation:
M + (M + 28) + 4M = 130
Simplifying this equation, we get:
6M + 28 = 130
Subtracting 28 from both sides:
6M = 102
Dividing both sides by 6:
M = 17
Therefore, Molly is 17 years old.
Let's denote the width of the park as "x".
Since the length is 35m longer than the width, we can express the length as "x + 35".
The formula for the perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
Given that the perimeter is 550m, we can now write the equation:
550 = 2 * (x + 35 + x)
Now, let's simplify the equation:
550 = 2 * (2x + 35)
550 = 4x + 70
480 = 4x
x = 120
Now, substitute the value of x back into the expression for the length:
Length = x + 35 = 120 + 35 = 155
Therefore, the length of the park is 155m and the width is 120m.
To find the length and width of the park, we can set up two equations based on the given information.
Let's say the width of the park is "x" meters. According to the problem, the length is 35 meters longer than the width, so the length would be "x + 35" meters.
The formula for the perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
So, in this case, the perimeter of the park is 550 meters. Plugging in the values we have:
550 = 2 * (x + (x + 35))
To solve this equation, we need to simplify and isolate the variable. Let's start by distributing the 2 on the right-hand side of the equation:
550 = 2 * (2x + 35)
Simplifying further:
550 = 4x + 70
Next, subtract 70 from both sides of the equation:
550 - 70 = 4x
480 = 4x
Finally, divide both sides of the equation by 4:
480/4 = x
120 = x
So, the width of the park is 120 meters. To find the length, we can substitute this value back into the equation we used earlier:
Length = x + 35
Length = 120 + 35
Length = 155
Therefore, the length of the park is 155 meters and the width is 120 meters.