Given:
A scale drawing of a rectangular park is 5 inches wide and 7 inches long.
The actual park is 280 yards long.
To find:
The area of the actual park.
Solution:
Length of drawing = 7 inches
Length of actual park = 280 yards
The scale factor is
7 inches : 280 yards
1 inches : 40 yards
The width of the drawing is 5 inches. So, the width of actual part is

The area of the actual park is



Therefore, the area of the actual park is 56000 sq. yards.
Let m represent the number of miles this guy runs in a day.
He runs every day, so the minimum number of miles has to be greater than 0.
According to the problem statement, the max number of miles is 3.5 miles or less.
Translate this into a (symbolic) inequality.
(1)
we are given
U is the midpoint of RS
and we have

so, we can use formula

we can plug values

............Answer
(2)
V is the midpoint of ST
so, we get

now, we can plug values

divide both sides by 2
.........Answer
(3)
now, we can find y
W is the midpoint of TR
so, we get

we can plug value

divide both sides by 3

(4)
we can see that
triangles URW and RST are similar
so, their sides ratios must be equal
so, we get

we can plug values



...........Answer
(5)
we can see that
triangles SUV and RST are similar
so, their sides ratios must be equal
so, we get

now, we can plug values


.............Answer
2:10=>3:10, was 1 hour
3:10=> 3:22, were 12 minutes
the play last 1 hour 12 minutes (or 60+12= 72 minutes).