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MATH / The trapezoid shown has a height of length 12 cm, a base of length 16 cm, and an area of 162 cm². What is the perimeter of the trapezoid? [asy] draw((0,0)--(0,12)--(11,12)--(16,0)-…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The trapezoid shown has a height of length 12 cm,12\text{ cm}, a base of length 16 cm,16\text{ cm}, and an area of 162 cm2.162\text{ cm}^2. What is the perimeter of the trapezoid? [asy] draw((0,0)--(0,12)--(11,12)--(16,0)--cycle); label("12 cm",(-1,6),W); draw((0.8,0)--(0.8,0.8)--(0,.8)); draw((0,11.2)--(0.8,11.2)--(0.8,12)); label("16 cm",(8,-1),S); [/asy]
Plain-text mathematical notation (without MathML)
The trapezoid shown has a height of length 12 cm, a base of length 16 cm, and an area of 162 cm². What is the perimeter of the trapezoid? [asy]
draw((0,0)--(0,12)--(11,12)--(16,0)--cycle);
label("12 cm",(-1,6),W);
draw((0.8,0)--(0.8,0.8)--(0,.8));
draw((0,11.2)--(0.8,11.2)--(0.8,12));
label("16 cm",(8,-1),S);
[/asy]
Original LaTeX notation
The trapezoid shown has a height of length $12\text{ cm},$ a base of length $16\text{ cm},$ and an area of $162\text{ cm}^2.$ What is the perimeter of the trapezoid? [asy]
draw((0,0)--(0,12)--(11,12)--(16,0)--cycle);
label("12 cm",(-1,6),W);
draw((0.8,0)--(0.8,0.8)--(0,.8));
draw((0,11.2)--(0.8,11.2)--(0.8,12));
label("16 cm",(8,-1),S);
[/asy]

level

Level 3

type

Geometry

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Source and history

task_id
d39fd74d-94e5-5fd9-bb65-b8fdfdb8eac3
task_key
geometry--test--d39fd74d-94e5-5fd9-bb65-b8fdfdb8eac3
task_revision_id
1
config / split
geometry / test

Official source

initial import