A=21(b1+b2)hThe area, A, of a trapezoid that has a height, h, and bases, b1 and b2, can be found by using the given equation. Which of the following correctly shows the trapezoid's height in terms of its area and 2 bases?Choose 1 answer:(A) h=2A(b1+b2)(B) h=A(b1+b2)2(C) h=2(b1+b2)A(D) h=(b1+b2)2A
Q. A=21(b1+b2)hThe area, A, of a trapezoid that has a height, h, and bases, b1 and b2, can be found by using the given equation. Which of the following correctly shows the trapezoid's height in terms of its area and 2 bases?Choose 1 answer:(A) h=2A(b1+b2)(B) h=A(b1+b2)2(C) h=2(b1+b2)A(D) h=(b1+b2)2A
Given formula: We are given the formula for the area of a trapezoid: A=21(b1+b2)h. We need to solve for h in terms of A, b1, and b2.
Multiplying both sides: First, we multiply both sides of the equation by 2 to get rid of the fraction on the right side. This gives us 2A=(b1+b2)h.
Dividing to isolate h: Next, we divide both sides of the equation by (b1+b2) to isolate h. This gives us h=b1+b22A.
Checking options: We check the options given to see which one matches our derived formula for h. The correct formula for h is (2A)/(b1+b2), which corresponds to option (D).
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