All SSAT Middle Level Math Resources
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?
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?
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 .
We know that:
where:
So we can write:
Example Question #11 : Rectangles
Note: Figure NOT drawn to scale.
Refer to the above diagram. Give the perimeter of the red polygon.
The perimeter cannot be determined from the information given.
Since opposite sides of a rectangle have the same measure, the missing sidelengths can be calculated as in the diagram below:
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 ?
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
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.
The correct answer is not given among the other choices.
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?
30
60
26
12
13
26
The formula for the perimeter of a rectangle is .
Plug in our given values to solve:
Example Question #81 : Plane Geometry
Rectangle ABCD has an area of . If the width of the rectangle is , what is the perimeter?
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?
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?
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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