A football arena measures 100ft. wide by 200ft long.The games are played on a similar rectangular field that's 150ft. long.
What is the width of the football field?
What is the perimeter of the football field?
150/200 = x/100
Cross multiply and solve for x
To find the width of the football field, you can use the ratio of the length of the football field to the length of the football arena.
Given:
Length of the football arena = 200 ft.
Length of the football field = 150 ft.
First, set up the proportion:
Length of the football field / Length of the football arena = Width of the football field / Width of the football arena.
Substituting the given values:
150 ft. / 200 ft. = Width of the football field / 100 ft.
Cross-multiplying:
150 ft. * 100 ft. = Width of the football field * 200 ft.
Simplifying:
15000 sq. ft. = Width of the football field * 200 ft.
Now, solve for the Width of the football field:
Width of the football field = 15000 sq. ft. / 200 ft.
Width of the football field = 75 ft.
So, the width of the football field is 75 ft.
To find the perimeter of the football field, you need to add up all the sides.
Given:
Width of the football field = 75 ft.
Length of the football field = 150 ft.
Perimeter of the football field = 2 * (Width of the football field + Length of the football field).
Substituting the given values:
Perimeter of the football field = 2 * (75 ft. + 150 ft.)
Calculating:
Perimeter of the football field = 2 * 225 ft.
Perimeter of the football field = 450 ft.
So, the perimeter of the football field is 450 ft.