SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

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Example Questions

Example Question #301 : Ssat Middle Level Quantitative (Math)

The length of a rectangle is two times as long as the width. The width is equal to  inches. What is the perimeter of the rectangle?

Possible Answers:

 

 

 

 

 

Correct answer:

 

 

 

 

 

Explanation:

Example Question #302 : Ssat Middle Level Quantitative (Math)

How many meters of fence are needed to enclose a rectangular field that has a length of 1000 meters and a width of 100 meters?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a rectangle is simply the sum of the four sides:

Example Question #31 : Quadrilaterals

The perimeter of a rectangle with a length of  and a width of is . Find .

 

Possible Answers:

Correct answer:

Explanation:

We know that:

 

 

where:

 

 

So we can write:

 

Example Question #11 : Rectangles

Rectangles

Note: Figure NOT drawn to scale.

Refer to the above diagram. Give the perimeter of the red polygon.

Possible Answers:

The perimeter cannot be determined from the information given.

Correct answer:

Explanation:

Since opposite sides of a rectangle have the same measure, the missing sidelengths can be calculated as in the diagram below:

Rectangles

The sidelengths of the red polygon can now be added to find the perimeter:

Example Question #74 : Plane Geometry

The width of a rectangle is , the length is , and the perimeter is 72. What is the value of ?

Possible Answers:

Correct answer:

Explanation:

Start with the equation for the perimeter of a rectangle:

We know the perimeter is 72, the length is , and the width is . Plug these values into our equation.

Multiply and combine like terms.

Divide by 18 to isolate the variable.

Simplify the fraction by removing the common factor.

Example Question #41 : Quadrilaterals

Rectangles

Note: Figure NOT drawn to scale.

Refer to the above diagram. Give the ratio of the perimeter of the large rectangle to that of the smaller rectangle.

Possible Answers:

The correct answer is not given among the other choices.

Correct answer:

Explanation:

Opposite sides of a rectangle are congruent.

The large rectangle has perimeter

.

The smaller rectangle has perimeter

.

The ratio is

; that is, 12 to 5.

Example Question #303 : Ssat Middle Level Quantitative (Math)

What is the perimeter of a rectangle with a width of 3 and a length of 10?

Possible Answers:

30

60

26

12

13

Correct answer:

26

Explanation:

The formula for the perimeter of a rectangle is \dpi{100} Perimeter=2l+2w.

Plug in our given values to solve:

\dpi{100} Perimeter = 2(20)+2(3)

\dpi{100} Perimeter = 20+6

\dpi{100} Perimeter = 26

Example Question #81 : Plane Geometry

Rectangle ABCD has an area of .  If the width of the rectangle is , what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

The area of a rectangle is found by multiplying the length times the width.  The question tells you the width is  and the area is .  

Thus the length is 8. .

To find the perimeter you add up all of the sides.  

 

Example Question #2 : How To Find The Perimeter Of The Rectangle

If the perimeter of a rectangle is  inches and the width is  inches, what is the length?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a rectangle is represented by the following formula, in which W represents width and L represents length:

Given that the width is  inches and that the perimeter is  inches, the following applies:

Next, subtract  from each side.

Now, divide each side by .

This gives us

Example Question #82 : Plane Geometry

A rectangle has an area of . The length of each side is a whole number. What is NOT a possible value for the rectangle's perimeter? 

Possible Answers:

Correct answer:

Explanation:

Since each side is a whole number, first find the whole number factors of . They are  and ,  and ,  and , and  and . These sidelengths correspond to perimeters of , , , and , respectively. Thus,  is answer. 

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