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MATH / In trapezoid ABCD, (AB)¯ and (CD)¯ are perpendicular to (AD)¯, with AB+CD=BC, AB<CD, and AD=7. What is AB⋅CD? Express your answer in decimal form.

Problem

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problem

In trapezoid ABCDABCD, AB¯\overline{AB} and CD¯\overline{CD} are perpendicular to AD¯\overline{AD}, with AB+CD=BCAB+CD=BC, AB<CDAB<CD, and AD=7AD=7. What is AB⋅CDAB \cdot CD? Express your answer in decimal form.
Plain-text mathematical notation (without MathML)
In trapezoid ABCD, (AB)¯ and (CD)¯ are perpendicular to (AD)¯, with AB+CD=BC, AB<CD, and AD=7. What is AB⋅CD? Express your answer in decimal form.
Original LaTeX notation
In trapezoid $ABCD$, $\overline{AB}$ and $\overline{CD}$ are perpendicular to $\overline{AD}$, with $AB+CD=BC$, $AB<CD$, and $AD=7$. What is $AB \cdot CD$? Express your answer in decimal form.

level

Level 5

type

Geometry

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Source and history

task_id
809aaff2-5a09-5424-8fd1-bcacbacbc6f2
task_key
geometry--test--809aaff2-5a09-5424-8fd1-bcacbacbc6f2
task_revision_id
1
config / split
geometry / test

Official source

initial import