Answer:
Part 1) The perimeter of rectangle is equal to 24 units
Part 2) The area of rectangle is equal to 32 square units
Step-by-step explanation:
Part 1) Find the perimeter of rectangle
we know that
The perimeter of rectangle is equal to

where
L is the length of rectangle
W is the width of rectangle
we have

Plot the figure to better understand the problem
using a graphing tool
see the attached figure
Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees
so

the formula to calculate the distance between two points is equal to

step 1
Find the distance FG

substitute the values



step 2
Find the distance RF

substitute the values



step 3
Find the perimeter

we have

substitute

Part 2) Find the area of rectangle FROG
we know that
The area of rectangle is equal to

we have

substitute

The answer is 8:45. Enjoy!
Answer:
x = 26
Step-by-step explanation:
m<RTS = 4x - 14 (given)
Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)
Therefore,
4x - 14 = 90
4x - 14 + 14 = 90 + 14 (addition property of equality)
4x = 104
4x/4 = 104/4
x = 26
Answer: 2y+11
Step-by-step explanation:
I hope this helps<3