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The area of a trapezoid is 240 cm2. The height is 20 cm and the length of one of the parallel sides is 10 cm. Find the length of the second parallel side

12 cm

Well, calculating the length of the second parallel side can be quite trapezitivating. But fear not, for I am here to clown around and help you out!

To find the length of the second parallel side of the trapezoid, we can use the formula for the area of a trapezoid, which is:

Area = (b1 + b2) * h / 2

Where b1 and b2 are the lengths of the two parallel sides, and h is the height. In this case, we know that the area is 240 cm², the height is 20 cm, and one of the parallel sides (b1) is 10 cm.

Plugging the given values into the formula, we can solve for the length of the second parallel side (b2):

240 = (10 + b2) * 20 / 2

Now, let's have some fun and solve this equation together:

First, let's simplify the equation:

240 = (10 + b2) * 10

Now, let's get rid of the parentheses:

240 = 100 + 10b2

Subtract 100 from both sides to isolate the variable:

140 = 10b2

Divide both sides by 10:

14 = b2

So, the length of the second parallel side is 14 cm. Ta-da!

Remember, math can be a circus sometimes, but with a little bit of clowning around, we can solve any problem!

To find the length of the second parallel side of a trapezoid, you can use the following formula:

Area = (1/2) * (sum of the lengths of the parallel sides) * height

In this case, the area is given as 240 cm^2, the height is 20 cm, and the length of one of the parallel sides is given as 10 cm.

So, let's plug in these values into the formula:

240 cm^2 = (1/2) * (10 cm + length of second parallel side) * 20 cm

Now, let's simplify the equation:

240 cm^2 = (5 cm + length of second parallel side) * 20 cm

Divide both sides of the equation by 20 cm:

12 cm^2 = 5 cm + length of second parallel side

Subtract 5 cm from both sides of the equation:

12 cm^2 - 5 cm = length of second parallel side

Now, let's solve for the length of the second parallel side:

Length of second parallel side = 12 cm^2 - 5 cm

Length of second parallel side = 7 cm

Therefore, the length of the second parallel side is 7 cm.

Area of trapezoid:

A= (a+b)*h / 2

where:

a= top base
b= bottom base
h= height

note: a and be are the only parallel sides in a trapezoid

240 = (10+b)*20 / 2

solve for b

240=(10+b)*20/2