Answer:
80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
xy +y +2x + 2 -xy = 30
2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
x +y = 18
and subtracting this from the above equation gives ...
(2x +y) -(x +y) = 28 -18
x = 10
Then
y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
Step-by-step explanation:
We can prove that the triangles are congruent using the SAS method.
It's given that GH and JH are congruent (S)
Angle GHF and Angle IHJ are equal since they are vertically opposite (A)
It's given that FH and HI are congruent (S)
Thus, the triangles are congruent, which implies that the remaining sides are equal.
Answer: 9 miles per hour.
Step-by-step explanation:
In 1 hour they would run (1 4/5)/(1/5) = (9/5)*5 = 9 hours. So, they are running 9 miles per hour.