SOLUTION: in the trapezuim below the hieght is 4cm,the area is 20 cm square the lenght a is smaller than length b write all possible whole number values for a and b ?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: in the trapezuim below the hieght is 4cm,the area is 20 cm square the lenght a is smaller than length b write all possible whole number values for a and b ?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 953373: in the trapezuim below the hieght is 4cm,the area is 20 cm square the lenght a is smaller than length b write all possible whole number values for a and b ?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
matrix%281%2C3%2CA%2C%22%22=%22%22%2Ch%28%28a%2Bb%29%2F2%29%29 

We are told that h=4 cm and A=20 cm square

matrix%281%2C3%2C20%2C%22%22=%22%22%2C4%28%28a%2Bb%29%2F2%29%29

Simplify by dividing the 2 into the 4:

matrix%281%2C3%2C40%2C%22%22=%22%22%2C2%28a%2Bb%29%29

Divide both sides by 2

matrix%281%2C3%2C20%2C%22%22=%22%22%2Ca%2Bb%29

matrix%281%2C3%2Ca%2Bb%2C%22%22=%22%22%2C20%29

Since a is smaller than b and their sum is 20,
we can have any of these where a and b are whole numbers.

a = 1, b = 19, a < b and a + b = 1 + 19 = 20
a = 2, b = 18, a < b and a + b = 2 + 18 = 20
a = 3, b = 17, a < b and a + b = 3 + 17 = 20
a = 4, b = 16, a < b and a + b = 4 + 16 = 20
a = 5, b = 15, a < b and a + b = 5 + 15 = 20
a = 6, b = 14, a < b and a + b = 6 + 14 = 20
a = 7, b = 13, a < b and a + b = 7 + 13 = 20
a = 8, b = 12, a < b and a + b = 8 + 12 = 20
a = 9, b = 11, a < b and a + b = 9 + 11 = 20




Edwin