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
the perimeter of a rectangular park is 550m. The length is 35m longer than the width. Find the length and width of the park
3 answers
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 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.