Answer:
35 m and 25 m
Explanation:
120/4 = 30
A square field with perimeter 120 m has sides of 30 m.
Since this field is a rectangle, with the length 10 m longer than the width, take two sides of 30 m each, and reduce one by 5 m and increase the other one by 5 m.
Now you have two sides of 25 m and 35 m. Do the same to the other two sides. You have another two sides of 25 m and 35 m.
P = 25 m + 35 m + 25 m + 35 m = 120 m,
and 35 m - 25 m = 10 m, so you have a perimeter of 120 m and a difference between the length and width of 10 m.
Answer: 35 m and 25 m
Step-by-step explanation using equations:
Let the width = x
Then the length is x + 10
perimeter = 2(length + width)
120 = 2(x + 10 + x)
120 = 2(2x + 10)
120 = 4x + 20
100 = 4x
25 = x
x = 25
The width is 25 m.
x + 10 = 25 + 10 = 35
The length is 35 m.
Answer: 35 m and 25 m