SSAT Middle Level Math : Geometry

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

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Example Questions

Example Question #221 : Ssat Middle Level Quantitative (Math)

Dr. Robinson recently put a rectangular fence around his backyard. The fence has a width of  yards and a length of  yards. If Dr. Robinson paid  for every yard of fence, how much did the fence cost? 

Possible Answers:

Correct answer:

Explanation:

To find the cost of the fence, apply the formula  in order to first find the length of the perimeter of the fence.

Then multiply the perimeter by .

Thus, the solution is:





 

Example Question #41 : Geometry

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The rectangle shown above has a width of  and a length of . Find the area and perimeter of the rectangle. 

Possible Answers:

Correct answer:

Explanation:

To solve this problem apply the formulas:  & 

Thus, the solution is:


Example Question #221 : Ssat Middle Level Quantitative (Math)

A right triangle has legs 90 centimeters and 16 centimeters, What is its area?

Possible Answers:

Correct answer:

Explanation:

The legs of a right triangle are its base and height, so use the area formula for a triangle with these dimension. Setting :

Example Question #1 : How To Find The Area Of A Triangle

A triangle has base 18 inches and height 14 inches. What is its area?

Possible Answers:

Correct answer:

Explanation:

Use the area formula for a triangle, setting :

Example Question #1 : How To Find The Area Of A Triangle

Triangle

What is the area of the above triangle?

Possible Answers:

Correct answer:

Explanation:

The two legs of a right triangle can serve as its base and its height. The area of the triangle is half the product of the two:

That is, the area is 84 square inches.

Example Question #4 : Plane Geometry

Triangle

 

What is the area of the above triangle?

Possible Answers:

Correct answer:

Explanation:

The two legs of a right triangle can serve as its base and its height. The area of the triangle is half the product of the two:

That is, the area is 3,000 square millimeters.

Example Question #1 : How To Find The Area Of A Triangle

Triangle

Note: Figure NOT drawn to scale.

The above triangle has an area of 450 square centimers. . What is  ?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is one half the product of its base and its height - in the above diagram, that means

.

Substitute , and solve for  :

Example Question #6 : Plane Geometry

Q7

Find the area of the triangle.

Note: Figure not drawn to scale.

Possible Answers:

Correct answer:

Explanation:

To find the area of a triangle, multiply the base of the triangle by the height and then divide by two.

 

 

Example Question #1 : How To Find The Area Of A Triangle

Square

The quadrilateral in the above diagram is a square. What percent of it is white?

Possible Answers:

Correct answer:

Explanation:

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

.

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

.

Therefore, the area of that triangle is 

of that of the entire square.

Example Question #1 : How To Find The Area Of A Triangle

Yard_2

Mr. Jones owns the isosceles-triangle-shaped parcel of land seen in the above diagram. He sells the parcel represented in red to his brother. What is the area of the land he retains?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is half the product of its base and its height, so Mr. Jones's parcel originally had area 

 square meters.

The portion he sold his brother, represented by the red right triangle, has area

 square meters.

Therefore, the area of the parcel Mr. Jones retained is 

 square meters.

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