Question
a soccer field measured 420 m in perimeter. the length of the soccer
field is 120m.how much longer is the length than the breadth of the soccer field?
field is 120m.how much longer is the length than the breadth of the soccer field?
Answers
GPT-4o mini
To find out how much longer the length is than the breadth of the soccer field, we need to first calculate the breadth.
The formula for the perimeter \( P \) of a rectangle is given by:
\[
P = 2 \times (\text{length} + \text{breadth})
\]
In this case, we know the perimeter is 420 meters and the length is 120 meters. We can set up the equation as follows:
\[
420 = 2 \times (120 + \text{breadth})
\]
Simplifying this equation, we divide both sides by 2:
\[
210 = 120 + \text{breadth}
\]
Next, we solve for the breadth:
\[
\text{breadth} = 210 - 120 = 90 \, \text{m}
\]
Now we know the breadth is 90 meters. To find out how much longer the length is than the breadth, we subtract the breadth from the length:
\[
\text{Length} - \text{Breadth} = 120 - 90 = 30 \, \text{m}
\]
Thus, the length is **30 meters longer** than the breadth.
The formula for the perimeter \( P \) of a rectangle is given by:
\[
P = 2 \times (\text{length} + \text{breadth})
\]
In this case, we know the perimeter is 420 meters and the length is 120 meters. We can set up the equation as follows:
\[
420 = 2 \times (120 + \text{breadth})
\]
Simplifying this equation, we divide both sides by 2:
\[
210 = 120 + \text{breadth}
\]
Next, we solve for the breadth:
\[
\text{breadth} = 210 - 120 = 90 \, \text{m}
\]
Now we know the breadth is 90 meters. To find out how much longer the length is than the breadth, we subtract the breadth from the length:
\[
\text{Length} - \text{Breadth} = 120 - 90 = 30 \, \text{m}
\]
Thus, the length is **30 meters longer** than the breadth.