SOLUTION: The sum of two consecutive integers is 145. Find the two integers. Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and t

Algebra ->  Equations -> SOLUTION: The sum of two consecutive integers is 145. Find the two integers. Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid is 16 m, one base is 20 m, and t      Log On


   

Question 95831: The sum of two consecutive integers is 145. Find the two integers.
Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid
is 16 m, one base is 20 m, and the area is 224 m2, find the length of the other base.
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
x = first integer
x+1 = second integer
x + (x +1)=145
2x+1=145
2x=144
x=72
72+1=73
first integer = 72
second integer = 73
area of trapezoid =
a = 1%2F2h(b1+b2)
224 = 1%2F216(20+b2)
224 = 8(20 +b2)
224= 160+8b2
64 = 8b2
8 = b2
:)