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ISEE Middle Level Math : How to find the perimeter of a trapezoid

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Example Questions

Example Question #1 : How To Find The Perimeter Of A Trapezoid

The perimeter of the following trapezoid is equal to 23 cm. Solve for $\displaystyle x$. (Figure not drawn to scale.)

Possible Answers:

x=4 $\displaystyle x=4$

x=2 $\displaystyle x=2$

x=8 $\displaystyle x=8$

x=12 $\displaystyle x=12$

Correct answer:

x=4 $\displaystyle x=4$

Explanation:

The perimeter is equal to the sum of all of the sides.

$P=23\: cm$ $\displaystyle P=23\: cm$

$P=23\: cm=5+6+x+2x$ $\displaystyle P=23\: cm=5+6+x+2x$

$\displaystyle 23=11+3x$

$\displaystyle 23-11=11+3x-11$

12=3x $\displaystyle 12=3x$

$\frac{12}{3}=\frac{3x}{3}$ $\displaystyle \frac{12}{3}=\frac{3x}{3}$

x=4 $\displaystyle x=4$

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Example Question #1 : How To Find The Perimeter Of A Trapezoid

Find the perimeter of the trapezoid:
Question_12

Possible Answers:

$\small 21$ $\displaystyle \small 21$

$\small 26$ $\displaystyle \small 26$

$\small 23.5$ $\displaystyle \small 23.5$

$\small 40$ $\displaystyle \small 40$

Correct answer:

$\small 21$ $\displaystyle \small 21$

Explanation:

The perimeter of any shape is equal to the sum of the lengths of its sides:

$\small P=4+6+3+8=21$ $\displaystyle \small P=4+6+3+8=21$

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Example Question #2091 : Isee Middle Level (Grades 7 8) Mathematics Achievement

You recently bought a new bookshelf with a base in the shape of an isosceles trapezoid. If the small base is 2 feet, the large base is 3 feet, and the arms are 1.5 feet, what is the perimeter of the base of your new bookshelf?

Possible Answers:

12ft $\displaystyle 12ft$

Cannot be determined from the information provided.

3.75ft $\displaystyle 3.75ft$

8ft $\displaystyle 8ft$

Correct answer:

8ft $\displaystyle 8ft$

Explanation:

To find the perimeter of a bookshelf, we need to add up the lengths of the sides.

We know the two bases, we just need to add the lengths of the arms.

$\displaystyle 2ft+1.5ft+1.5ft+3ft=8ft$

So, our answer is 8ft

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ISEE Middle Level Math : How to find the perimeter of a trapezoid

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #1 : How To Find The Perimeter Of A Trapezoid

Example Question #1 : How To Find The Perimeter Of A Trapezoid

Example Question #2091 : Isee Middle Level (Grades 7 8) Mathematics Achievement

All ISEE Middle Level Math Resources

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