For a parallelogram with a long side that is 4 times the length of its short side find the area if the height from the long side is 23 and the perimeter is 125.

Question

For a parallelogram with a long side that is 4 times the length of its short side find the area if the height from the long side is 23 and the perimeter is 125.

Answer 1

Area = about 684

short side = 11.9

long side = 47.6

average = (11.9+47.6)/2 = 29.75

area = 29.75x23 = 684.25

perimeter = 11.9+47.6+42.5 + 23 = 125.0

125 = b + 4b + 23 + sqr((3b)^2+23^2)

102 -5b = sqr(9b^2 +529)

25b^2 -1020b + 102^2= 9b^2 +529

16b^2 -1020b +9875 = 0

use the quadratic formula

b = 11.9

4b = 4(11.9)