Question

Solve for the unknown variable. A=(1)/(2)h(B+b);A=282,B=20,b=27 (Area of a trapezoid )

Answer 1

To solve for the unknown variable h in the formula for the area of a trapezoid, substitute the given values and solve the equation.

Step-by-step explanation:

To solve for the unknown variable, we can substitute the given values into the formula for the area of a trapezoid: A = (1/2)h(B + b).

Substituting A = 282, B = 20, and b = 27, we get:

282 = (1/2)h(20 + 27)

Now we can simplify the equation:

282 = (1/2)h(47)

Multiplying both sides by 2:

564 = 47h

Finally, dividing both sides by 47:

h = 564/47

Therefore, the value of h is approximately 12.