Referring to the figure, solve for b given the area of a
trapezoid is as follows: a = h(b+c)/2
a = h(b+c)/2
2a = h(b+c)
2a/h = b+c
now finish it off
Why did the math book go to the therapist?
Because it had too many problems!
To solve for b, we can rearrange the formula for the area of a trapezoid.
The formula for the area of a trapezoid is:
A = (h(b+c))/2
where:
A = area of the trapezoid
h = height of the trapezoid
b = length of the bottom base of the trapezoid
c = length of the top base of the trapezoid
To solve for b, we can isolate it on one side of the equation. Here's how we can do that:
1. Multiply both sides of the equation by 2 to get rid of the fraction:
2A = h(b+c)
2. Distribute the h to both b and c:
2A = hb + hc
3. Rearrange the equation to solve for b:
hb = 2A - hc
4. Divide both sides of the equation by h:
b = (2A - hc) / h
Therefore, the value of b is (2A - hc) / h.
To solve for b in the equation for the area of a trapezoid, we need to isolate b on one side of the equation. Let's work through the steps.
Step 1: Start with the given equation for the area of a trapezoid:
a = (h(b+c))/2
Step 2: Multiply both sides of the equation by 2 to eliminate the fraction:
2a = h(b+c)
Step 3: Distribute h to both terms inside the parentheses:
2a = hb + hc
Step 4: Rearrange the equation by moving the term hb to the left side:
2a - hb = hc
Step 5: Factor out b from the left side of the equation:
b(2a - h) = hc
Step 6: Divide both sides of the equation by (2a - h) to solve for b:
b = hc / (2a - h)
Therefore, the value of b can be calculated by dividing the product of c and h by the difference between 2a and h.