Given rectangle ABCD below,
a. Find the measure of the angles labeled below.
b. If the length of AB=3x–21, DC=34, BC=4y+32, and AD=62, find the values of x and y.
c. Find the perimeter and area of rectangle ABCD.

Step-by-step explanation:

a) no angles are described or shown

__

b) Opposite sides are the same length, so we have ...

  3x -21 = 34

  3x = 55 . . . . . . . add 21

  x = 55/3 = 18 1/3 . . . . . divide by 3

and

  4y +32 = 62

  4y = 30 . . . . . . . . subtract 32

  y = 15/2 = 7 1/2 . . . . divide by 4

__

c) The perimeter is the sum of the side lengths, so is ...

  P = 2(L+W) = 2(62 +34) = 192 . . . units

The area is the product of adjacent side lengths, so is ...

  A = LW = 62·34 = 2108 . . . square units

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05