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SSAT Elementary Level Math : Quadrilaterals

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

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12 Diagnostic Tests 526 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #421 : Geometry

Find the area of the rectangle.

The rectangle has a length of 12cm and a width of 7cm.

Possible Answers:

$84cm^{2}$

$38cm^{}$

$84cm^{}$

$38cm^{_{2}}$

$19cm^{2}$

Correct answer:

$84cm^{2}$

Explanation:

The formula to solve for the area of a rectangle is length multiplied by width.

In this case that would be (12cm x 7cm).

12 x 7 is 84.

84 is then your answer. To finish your answer off with a label, you take (cm x cm) and that is where you get $cm^{2}$ .

So your final answer is $84cm^{_{2}}$ .

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Example Question #422 : Geometry

Find the area of the following rectangle.

The length of the rectangle is three times the width of the rectangle. The width of the rectangle is 3cm.

Possible Answers:

$27cm^{}$

$12cm^{2}$

$27cm^{_{2}}$

$9cm^{2}$

$24cm^{}$

Correct answer:

$27cm^{_{2}}$

Explanation:

First you must figure out the length of the rectangle.

The length was 3 times the width.

The width was 3cm, so 3 x 3 = 9.

The length of the rectangle is 9cm. Now that you have your length and width, you are able to use the formula to find the area of a rectangle which is length times width.

$9cm \cdot 3cm = 27cm ^{2}$ .

$(9\times 3= 27)$ and $(cm \cdot cm= cm^{2})$ ,

so your answer is $27cm^{2}$ .

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Example Question #423 : Geometry

Find the area of the rectangle.

The width of the rectangle is half the length of the rectangle. The length of the rectangle is 12cm.

Possible Answers:

$72cm^{2}$

$36cm^{}$

72cm

$144cm^{2}$

$18cm^{2}$

Correct answer:

$72cm^{2}$

Explanation:

First you must find the width of the rectangle which is half of the length.

$12\div2=6$

So our width is 6cm. Then you use the formula to solve for the area of a rectangle which is length times width.

$12cm \times6cm=72cm^{2}$

$12 \times6=72$

$cm\cdot cm=cm^{2}$

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Example Question #421 : Plane Geometry

The rectangle is made up of 1in by 1in squares. Use this information to help you solve the problem.

Screen shot 2015 09 29 at 10.44.22 am

If each of the small boxes in the figure below measures 1 in by 1 in, what is the area of the entire shape?

Screen shot 2015 09 29 at 10.43.53 am

Possible Answers:

21in^2

23in^2

22in^2

24in^2

20in^2

Correct answer:

24in^2

Explanation:

We can count the number of squares within the shape to find the area.

There are squares within the shape, which means the area is 24in^2

*Area is the number of square units inside a shape, which is why area is always written with square units.

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Example Question #421 : Quadrilaterals

Annie has a piece of wallpaper that is 10ft by 2ft . How much of a wall can be covered by this piece of wallpaper?

Possible Answers:

16ft^2

20ft^2

18ft^2

19ft^2

17ft^2

Correct answer:

20ft^2

Explanation:

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula $A=l \times w$

$A=10\times2$

A=20ft^2

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Example Question #422 : Quadrilaterals

Annie has a piece of wallpaper that is 9ft by 7ft . How much of a wall can be covered by this piece of wallpaper?

Possible Answers:

58ft^2

65ft^2

47ft^2

63ft^2

59ft^2

Correct answer:

63ft^2

Explanation:

$A=9\times7$

A=63

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Example Question #361 : How To Find The Area Of A Rectangle

What two shapes can you find in this shape?

Screen shot 2015 07 24 at 10.51.32 am

Possible Answers:

An octagon and a square

A triangle and a circle

A square and a triangle

A triangle and an octagon

Correct answer:

A square and a triangle

Explanation:

Screen shot 2015 07 24 at 10.53.04 am

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Example Question #362 : How To Find The Area Of A Rectangle

What two identical shapes can you find in this shape?

Screen shot 2015 07 24 at 10.57.36 am

Possible Answers:

A triangle and a triangle

A hexagon and a square

A heptagon and a square

A trapezoid and triangle

Correct answer:

A triangle and a triangle

Explanation:

Screen shot 2015 07 24 at 10.58.56 am

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Example Question #363 : How To Find The Area Of A Rectangle

What two shapes can you find in this shape?

Screen shot 2015 07 24 at 11.01.44 am

Possible Answers:

A trapezoid and a square

A trapezoid and a triangle

A rectangle and a triangle

A square and a triangle

Correct answer:

A trapezoid and a triangle

Explanation:

Screen shot 2015 07 24 at 11.02.54 am

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Example Question #364 : How To Find The Area Of A Rectangle

What two shapes do you see in this shape?

Screen shot 2015 07 24 at 11.35.49 am

Possible Answers:

A pentagon and a square

A triangle and a hexagon

A triangle and a pentagon

A pentagon and a rectangle

Correct answer:

A triangle and a pentagon

Explanation:

Screen shot 2015 07 24 at 11.36.22 am

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SSAT Elementary Level Math : Quadrilaterals

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

All SSAT Elementary Level Math Resources

Example Questions

Example Question #421 : Geometry

Example Question #422 : Geometry

Example Question #423 : Geometry

Example Question #421 : Plane Geometry

Example Question #421 : Quadrilaterals

Example Question #422 : Quadrilaterals

Example Question #361 : How To Find The Area Of A Rectangle

Example Question #362 : How To Find The Area Of A Rectangle

Example Question #363 : How To Find The Area Of A Rectangle

Example Question #364 : How To Find The Area Of A Rectangle

All SSAT Elementary Level Math Resources

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