ACT Math : How to find the length of the side of a trapezoid

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #301 : Act Math

Given the height of a trapezoid is  and a base length is , what is the length of the other base if the area of the trapezoid is ?

Possible Answers:

Correct answer:

Explanation:

Write the formula used to find the area of a trapezoid.

Substitute the given information to the formula and solve for the unknown base.

Example Question #2 : How To Find The Length Of The Side Of A Trapezoid

Q3

 is an isosceles trapezoid that is bisected by .

. If , and , then what is the length of ?

Possible Answers:

Correct answer:

Explanation:

We know that all three horizontal lines are parallel to one another. By definition, we can set up a ratio between the lengths of the sides provided to us in the question and the lengths of the two parallel lines:

Once we substitute the given information, we get 

We cross multiply to solve for EF

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