SSAT Elementary Level Math : Plane Geometry

Study concepts, example questions & explanations for SSAT Elementary Level Math

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Example Questions

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 : Find Perimeter Or Missing Side Lengths Of Polygons: Ccss.Math.Content.3.Md.D.8

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:

\(\displaystyle 31m\)

\(\displaystyle 32m\)

\(\displaystyle 34m\)

\(\displaystyle 33m\)

\(\displaystyle 35m\)

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. 

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

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

\(\displaystyle P=34\)

Example Question #21 : Find Perimeter Or Missing Side Lengths Of Polygons: Ccss.Math.Content.3.Md.D.8

There is a park in Hannah's new neighborhood that is \(\displaystyle 12\) meters long and \(\displaystyle 11\) meters wide. What is the perimeter of the park? 

Possible Answers:

\(\displaystyle 45m\)

\(\displaystyle 43m\)

\(\displaystyle 46m\)

\(\displaystyle 47m\)

\(\displaystyle 44m\)

Correct answer:

\(\displaystyle 46m\)

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. 

\(\displaystyle P=2(12+11)\)

\(\displaystyle P=2(23)\)

\(\displaystyle P=46\)

Example Question #22 : Find Perimeter Or Missing Side Lengths Of Polygons: Ccss.Math.Content.3.Md.D.8

Tim is going to retile his bathroom floor. His bathroom is \(\displaystyle 4\) meters long and \(\displaystyle 3\) meters wide. What is the peritmeter of his bathroom? 

Possible Answers:

\(\displaystyle 11m\)

\(\displaystyle 14m\)

\(\displaystyle 10m\)

\(\displaystyle 13m\)

\(\displaystyle 12m\)

Correct answer:

\(\displaystyle 14m\)

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. 

\(\displaystyle P=2(4+3)\)

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

\(\displaystyle P=14\)

Example Question #497 : Plane Geometry

What is the width of the rectangle if the perimeter is \(\displaystyle 36in\) and the length is \(\displaystyle 8in\)?

Possible Answers:

\(\displaystyle 8in\)

\(\displaystyle 9in\)

\(\displaystyle 6in\)

\(\displaystyle 10in\)

\(\displaystyle 7in\)

Correct answer:

\(\displaystyle 10in\)

Explanation:

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

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

\(\displaystyle 36=2(8+w)\)

\(\displaystyle 36=16+2w\)

Subtract \(\displaystyle 16\) from both sides

\(\displaystyle 20=2w\)

Divide \(\displaystyle 2\) by both sides

\(\displaystyle 10=w\)

Example Question #498 : Plane Geometry

What is the width of the rectangle if the perimeter is \(\displaystyle 36in\) and the length is \(\displaystyle 9in\)?

 

Possible Answers:

\(\displaystyle 6in\)

\(\displaystyle 2in\)

\(\displaystyle 4in\)

\(\displaystyle 3in\)

\(\displaystyle 5in\)

Correct answer:

\(\displaystyle 4in\)

Explanation:

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

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

\(\displaystyle 26=2(9+w)\)

\(\displaystyle 26=18+2w\)

Subtract \(\displaystyle 18\) from both sides

\(\displaystyle 8=2w\)

Divide \(\displaystyle 2\) by both sides

\(\displaystyle 4=w\)

Example Question #499 : Plane Geometry

What is the width of the rectangle if the perimeter is \(\displaystyle 36in\) and the length is \(\displaystyle 9in\)?

 

Possible Answers:

\(\displaystyle 5in\)

\(\displaystyle 2in\)

\(\displaystyle 4in\)

\(\displaystyle 3in\)

\(\displaystyle 6in\)

Correct answer:

\(\displaystyle 4in\)

Explanation:

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

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

\(\displaystyle 26=2(9+w)\)

\(\displaystyle 26=18+2w\)

Subtract \(\displaystyle 18\) from both sides

\(\displaystyle 8=2w\)

Divide \(\displaystyle 2\) by both sides

\(\displaystyle 4=w\)

Example Question #500 : Plane Geometry

What is the width of the rectangle if the perimeter is \(\displaystyle 26in\) and the length is \(\displaystyle 7in\)?

 

Possible Answers:

\(\displaystyle 5in\)

\(\displaystyle 7in\)

\(\displaystyle 6in\)

\(\displaystyle 8in\)

\(\displaystyle 9in\)

Correct answer:

\(\displaystyle 6in\)

Explanation:

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

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

\(\displaystyle 26=2(7+w)\)

\(\displaystyle 26=14+2w\)

Subtract \(\displaystyle 14\) from both sides

\(\displaystyle 12=2w\)

Divide \(\displaystyle 2\) by both sides

\(\displaystyle 6=w\)

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