# SSAT Upper Level Math : How to find the area of a parallelogram

## Example Questions

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### Example Question #2 : Area Of A Parallelogram

A parallelogram has the base length of and the altitude of . Give the area of the parallelogram.      Explanation:

The area of a parallelogram is given by: Where is the base length and is the corresponding altitude. So we can write: ### Example Question #1 : Area Of A Parallelogram

A parallelogram has a base length of which is 3 times longer than its corresponding altitude. The area of the parallelogram is 12 square inches. Give the .      Explanation:

Base length is so the corresponding altitude is .

The area of a parallelogram is given by: Where: is the length of any base is the corresponding altitude

So we can write:    ### Example Question #1 : Area Of A Parallelogram

The length of the shorter diagonal of a rhombus is 40% that of the longer diagonal. The area of the rhombus is . Give the length of the longer diagonal in terms of .      Explanation:

Let be the length of the longer diagonal. Then the shorter diagonal has length 40% of this. Since 40% is equal to , 40% of is equal to .

The area of a rhombus is half the product of the lengths of its diagonals, so we can set up, and solve for , in the equation:     ### Example Question #81 : Areas And Perimeters Of Polygons

The length of the shorter diagonal of a rhombus is two-thirds that of the longer diagonal. The area of the rhombus is square yards. Give the length of the longer diagonal, in inches, in terms of .      Explanation:

Let be the length of the longer diagonal in yards. Then the shorter diagonal has length two-thirds of this, or .

The area of a rhombus is half the product of the lengths of its diagonals, so we can set up the following equation and solve for :     To convert yards to inches, multiply by 36: ### Example Question #51 : Geometry

The longer diagonal of a rhombus is 20% longer than the shorter diagonal; the rhombus has area . Give the length of the shorter diagonal in terms of .      Explanation:

Let be the length of the shorter diagonal. If the longer diagonal is 20% longer, then it measures 120% of the length of the shorter diagonal; this is of , or .

The area of a rhombus is half the product of the lengths of its diagonals, so we can set up an equation and solve for :     ### Example Question #1 : Shape Properties

Which of the following shapes is NOT a quadrilateral?

Rhombus

Triangle

Rectangle

Square

Kite

Triangle

Explanation:

A quadrilateral is any two-dimensional shape with sides. The only shape listed that does not have sides is a triangle.

### Example Question #1 : Shape Properties

What is the main difference between a square and a rectangle?

Their angle measurments

The sum of their angles

Their color

The number of sides they each have

Their side lengths

Their side lengths

Explanation:

The only difference between a rectangle and a square is their side lengths. A square has to have equal side lengths, but the opposite side lengths of a rectangle only have to be equal.

### Example Question #1 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

What is the main difference between a triangle and a rectangle?

The length of the sides

The number of sides

The color

The volume

The area

The number of sides

Explanation:

Out of the choices given, the only characteristic used to describe shapes is the number of sides. A triangle has sides and a rectangle has sides.

### Example Question #1051 : Ssat Upper Level Quantitative (Math)

Which two shapes have to have right angles?

Rectangle and Rhombus

Square and Rectangle

Rectangle and Parallelogram

Square and Rhombus

Square and Parallelogram

Square and Rectangle

Explanation:

By definition, the only two quadrilaterals that have to have right angles, are the square and the rectangle.

### Example Question #1 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

Which of the shapes is NOT a quadrilateral?

Hexagon

Rhombus

Rectangle

Square

Trapezoid

A quadrilateral is a sided shape. The only shape listed that does not have sides is a hexagon, which has sides. 