The area of a trapezoid is 240cm2. The height is 20cm and the length of one of the parallel sides is 8cm. Find the length of the second parallel side. Express your answer as a simplified fraction or a decimal rounded to two places.
since A = (b1+b2)/2 * h, you have
(8+b)/2 * 20 = 240
so find b.
Why did the trapezoid go to the doctor? Because it had an "area" infection!
To find the length of the second parallel side of the trapezoid, we can use the formula for the area of a trapezoid: A = [ (a + b) / 2 ] * h,
where A is the area, a and b are the lengths of the parallel sides, and h is the height.
Plugging in the given values, we have:
240 = [ (8 + b) / 2 ] * 20
To simplify, we can multiply both sides by 2:
480 = (8 + b) * 20
Now, let's solve the equation for b:
480 = 160 + 20b
Subtracting 160 from both sides:
320 = 20b
Dividing both sides by 20:
b = 16
So, the length of the second parallel side is 16 cm.
To find the length of the second parallel side of the trapezoid, we can use the formula for the area of a trapezoid:
Area = (1/2) * (sum of bases) * height
We are given that the area is 240 cm^2, the height is 20 cm, and one of the parallel sides is 8 cm. Let's substitute these values into the formula:
240 = (1/2) * (8 + x) * 20
Now let's simplify the equation:
240 = 4(8 + x)
Divide both sides by 4:
60 = 8 + x
Subtract 8 from both sides:
x = 52
Therefore, the length of the second parallel side is 52 cm.
To find the length of the second parallel side of a trapezoid, you can use the formula for the area of a trapezoid:
Area = (1/2) * (sum of the lengths of the parallel sides) * height
In this case, you are given the area, the height, and one of the parallel sides. So you can substitute those values into the formula and solve for the second parallel side.
Let's call the second parallel side x (in cm).
240 = (1/2) * (8 + x) * 20
Now, let's solve the equation step by step:
1. Distribute the (1/2) to both terms inside the parentheses:
240 = 4 + (1/2) * x * 20
2. Multiply (1/2) by 20:
240 = 4 + 10x
3. Subtract 4 from both sides of the equation:
240 - 4 = 10x
236 = 10x
4. Divide both sides of the equation by 10:
236/10 = x
23.6 = x
So, the length of the second parallel side is 23.6 cm.