Two identical rectangles and squares, R and T, are arranged to form a larger square as shown. The area of square R is 1 square inch, and the perimeter of each rectangle is 7 inches. What is the perimeter of square T? Explain. R

T

Because the area of square R is 1 square inch, its side length is

nothing inch(es). So, the shorter side of each rectangle is

nothing inch(es). If x represents the length of the longer side of each rectangle, the perimeter is

▼

4 x equals 7

2 x plus 2 left parenthesis 1 right parenthesis equals 7

2 x left parenthesis 1 right parenthesis equals 7

x squared plus left parenthesis 1 right parenthesis squared equals 7 squared

and x

nothing. The perimeter of square T is

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2 x plus 2 l

Which of the following answers is 5/25 simplified? 1/5 5/5 2/5 1/25

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?