ISEE Lower Level Quantitative : Quadrilaterals

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #371 : Quadrilaterals

What is the perimeter of the rectangle below? 

Screen shot 2015 09 29 at 8.15.23 am

Possible Answers:

\(\displaystyle 5in\)

\(\displaystyle 8in\)

\(\displaystyle 7in\)

\(\displaystyle 10in\)

\(\displaystyle 4in\)

Correct answer:

\(\displaystyle 10in\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(3+2)\)

\(\displaystyle P=2(5)\)

\(\displaystyle P=10\)

Example Question #371 : Quadrilaterals

Mark is going to retile his bathroom floor. His bathroom is \(\displaystyle 3\) meters long and \(\displaystyle 2\) meters wide. What is the perimeter of his bathroom? 

Possible Answers:

\(\displaystyle 6m\)

\(\displaystyle 7m\)

\(\displaystyle 10m\)

\(\displaystyle 8m\)

\(\displaystyle 9m\)

Correct answer:

\(\displaystyle 10m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(3+2)\)

\(\displaystyle P=2(5)\)

\(\displaystyle P=10\)

Example Question #372 : Quadrilaterals

Emily is digging a garden in her backyard that is \(\displaystyle 6\) meters long and \(\displaystyle 4\) meters wide. What is the perimeter of her garden? 

Possible Answers:

\(\displaystyle 21m\)

\(\displaystyle 22m\)

\(\displaystyle 20m\)

\(\displaystyle 23m\)

\(\displaystyle 24m\)

Correct answer:

\(\displaystyle 20m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(6+4)\)

\(\displaystyle P=2(10)\)

\(\displaystyle P=20\)

Example Question #373 : Quadrilaterals

Megan is going to replace the carpet in her living room. Her living room is \(\displaystyle 6\) meters long and \(\displaystyle 5\) meters wide. What is the perimeter of her living room?

Possible Answers:

\(\displaystyle 24m\)

\(\displaystyle 23m\)

\(\displaystyle 22m\)

\(\displaystyle 25m\)

\(\displaystyle 21m\)

Correct answer:

\(\displaystyle 22m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(6+5)\)

\(\displaystyle P=2(11)\)

\(\displaystyle P=22\)

Example Question #372 : Quadrilaterals

Nancy is going to replace the carpet in her living room. Her living room is \(\displaystyle 7\) meters long and \(\displaystyle 5\) meters wide. What is the perimeter of her living room?

Possible Answers:

\(\displaystyle 22m\)

\(\displaystyle 21m\)

\(\displaystyle 23m\)

\(\displaystyle 25m\)

\(\displaystyle 24m\)

Correct answer:

\(\displaystyle 24m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(7+5)\)

\(\displaystyle P=2(12)\)

\(\displaystyle P=24\)

Example Question #374 : Quadrilaterals

Justin just moved into a new house with a fenced in yard. The fence is \(\displaystyle 9\) meters long and \(\displaystyle 6\) meters wide. What is the perimeter of his yard? 

Possible Answers:

\(\displaystyle 29m\)

\(\displaystyle 28m\)

\(\displaystyle 30m\)

\(\displaystyle 31m\)

\(\displaystyle 32m\)

Correct answer:

\(\displaystyle 30m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(9+6)\)

\(\displaystyle P=2(15)\)

\(\displaystyle P=30\)

Example Question #373 : Quadrilaterals

There is a park in Hank's new neighborhood that is \(\displaystyle 10\) meters long and \(\displaystyle 12\) meters wide. What is the perimeter of the park? 

Possible Answers:

\(\displaystyle 48m\)

\(\displaystyle 45m\)

\(\displaystyle 44m\)

\(\displaystyle 47m\)

\(\displaystyle 46m\)

Correct answer:

\(\displaystyle 44m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(12+10)\)

\(\displaystyle P=2(22)\)

\(\displaystyle P=44\)

Example Question #375 : Quadrilaterals

Sandy has a pool in her backyard that is \(\displaystyle 8\) meters long and \(\displaystyle 5\) meters wide. What is the perimeter of her pool? 

Possible Answers:

\(\displaystyle 22m\)

\(\displaystyle 26m\)

\(\displaystyle 24m\)

\(\displaystyle 23m\)

\(\displaystyle 25m\)

Correct answer:

\(\displaystyle 26m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(8+5)\)

\(\displaystyle P=2(13)\)

\(\displaystyle P=26\)

Example Question #11 : Geometric Measurement: Recognizing Perimeter

Angie has a pool in her backyard that is \(\displaystyle 9\) meters long and \(\displaystyle 7\) meters wide. What is the perimeter of her pool? 

Possible Answers:

\(\displaystyle 34m\)

\(\displaystyle 31m\)

\(\displaystyle 33m\)

\(\displaystyle 32m\)

\(\displaystyle 35m\)

Correct answer:

\(\displaystyle 32m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(9+7)\)

\(\displaystyle P=2(16)\)

\(\displaystyle P=32\)

Example Question #51 : How To Find The Perimeter Of A Rectangle

Charlie just moved into a new house with a fenced in yard. The fence is \(\displaystyle 10\) meters long and \(\displaystyle 7\) meters wide. What is the perimeter of his yard? 

Possible Answers:

\(\displaystyle 36m\)

\(\displaystyle 35m\)

\(\displaystyle 32m\)

\(\displaystyle 33m\)

\(\displaystyle 34m\)

Correct answer:

\(\displaystyle 34m\)

Explanation:

The formula for perimeter of a rectangle is \(\displaystyle P=2(l + w)\)

To solve for the perimeter we can plug our known values into the equation. 

\(\displaystyle P=2(10+7)\)

\(\displaystyle P=2(17)\)

\(\displaystyle P=34\)

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