All SSAT Middle Level Math Resources
Example Questions
Example Question #12 : How To Find The Perimeter Of A Rectangle
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 #13 : How To Find The Perimeter Of A 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 #303 : Ssat Middle Level Quantitative (Math)
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.
Example Question #131 : Quadrilaterals
Give the perimeter of the above rectangle in centimeters, using the conversion factor centimeters per yard.
The perimeter of the rectangle is yards. To convert this to centimeters, multiply by the given conversion factor:
centimeters.
Example Question #312 : Ssat Middle Level Quantitative (Math)
Find the perimeter of the rectangle shown below
The perimeter of a rectangle, or any shape, is the distance around the outside. You add up the length of each side to find this number. The coordinates of the points are . You need to find the distance between each point. The short side is units, and the longer side is units.
Example Question #241 : Geometry
Steve's bedroom measures 20' by 18' by 8' high. He wants to paint the ceiling and all four walls using a paint that gets 360 square feet of coverage per gallon. A one-gallon can of the paint Steve wants costs $36.00; a one-quart can costs $13.00. What is the least amount of money that Steve can expect to spend on paint in order to paint his room?
Two of the walls have area ; two have area ; the ceiling has area .
Therefore, the total area Steve wants to cover is
Divide 968 by 360 to get the number of gallons Steve needs to paint his bedroom:
Since , Steve needs to purchase either two gallon cans and three quart cans, or three gallon cans.
The first option will cost him ; the second option will cost him . The latter is the more economical option.
Example Question #1 : How To Find The Area Of A Rectangle
Give the area of the rectangle in the above diagram.
The area of a rectangle is the product of its length and its height:
The rectangle has a perimeter of 80.64 square centimeters.
Example Question #2 : How To Find The Area Of A Rectangle
Give the area of the rectangle in the above diagram.
The area of a rectangle is the product of its length and its width:
The area of the rectangle is 42 square inches.
Example Question #313 : Ssat Middle Level Quantitative (Math)
Give the surface area of the above box in square centimeters.
100 centimeters make one meter, so convert each of the dimensions of the box by multiplying by 100.
centimeters
centimeters
Use the surface area formula, substituting :
square centimeters
Example Question #314 : Ssat Middle Level Quantitative (Math)
Above is a figure that comprises a red square and a white rectangle. The ratio of the length of the white rectangle to the sidelength of the square is . What percent of the entire figure is red?
To make this easier, we will assume that the rectangle has length 5 and the square has sidelength 3. Then the area of the entire figure is
,
and the area of the square is
The square, therefore, takes up
of the entire figure.
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