SSAT Middle Level Math : How to find the area of a square

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

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Example Questions

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Example Question #241 : Geometry

Square

Note: Figure NOT drawn to scale.

Refer to the above diagram, which shows a square. Give the ratio of the area of the yellow region to that of the white region.

Possible Answers:

The correct answer is not given among the other choices.

Correct answer:

Explanation:

The area of the entire square is the square of the length of a side, or

.

The area of the right triangle is half the product of its legs, or

.

The area of the yellow region is therefore the difference of the two, or

.

The ratio of the area of the yellow region to that of the white region is 

; that is, 55 to 9.

Example Question #21 : Quadrilaterals

Find the area of a square with a width of 13cm.

Possible Answers:

Correct answer:

Explanation:

To find the area of a square, we will use the following formula:

where l is the length and w is the width of the square.

 

Now, we know the width of the square is 13cm.  Because it is a square, all sides are equal.  Therefore, the length is also 13cm.

So, we can substitute.  We get

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