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.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(20055)   (Show Source): You can put this solution on YOUR website!
 

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



Simplify by dividing the 2 into the 4:



Divide both sides by 2





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
RELATED QUESTIONS

The lenght of a rectangle is 4cm more than its width and 4cm less than the length of a... (answered by ankor@dixie-net.com)
A rectangular hole 3cm wide and x cm long is cut in a rectangular sheet of metal that is... (answered by rothauserc)
If the sides of a square are increased by 4 cm, the area is increased by 4cm square. Find (answered by richard1234)
If the height of a triangle is half the length of its base, and the area of the triangle... (answered by stanbon)
the side length of a square tile is 6.5 cm. What is the approximate lenght of the tile in (answered by Alan3354)
2 blocks each of lenght x, width x+3, and hight is x, are cut of a block of length 3x+4,... (answered by nerdybill)
the width of a rectangle is 15 cm less than 3 times the lenght if the area is 42 square... (answered by josgarithmetic)
the width of a rectangle is 15 cm less than 3 times the lenght if the area is 42 square... (answered by ikleyn)
The length of a rectangle is 4cm less than thrice its width. If the area is 160 sq cm ,... (answered by ikleyn)