SSAT Upper Level Quantitative Flashcards: Perimeter And Area Of Polygons

What this deck covers

This deck focuses on Perimeter And Area Of Polygons, giving you a quick way to review the definitions, rules, and examples that matter most for SSAT Upper Level Quantitative.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What is the perimeter of a regular octagon with side length $s=7$?

Answer: $56$. For a regular octagon, multiply the side length by eight to find the perimeter.

Flashcard 2: What is the area of a square with side length $s=12$?

Answer: $144$. Square the side length to determine the area.

Flashcard 3: State the formula for the perimeter of a square with side length $s$.

Answer: $P = 4s$. The perimeter of a square is four times its side length.

Flashcard 4: State the formula for the area of a square with side length $s$.

Answer: $A = s^2$. The area of a square is the square of its side length.

Flashcard 5: What is the area of a triangle with base $b=14$ and height $h=6$?

Answer: $42$. Take half the product of the base and height for the area.

Flashcard 6: What is the perimeter of a rectangle with $l=10$ and $w=3$?

Answer: $26$. Add twice the length and twice the width to find the perimeter.

Flashcard 7: State the formula for the perimeter of a polygon with side lengths $s_1, s_2, \dots, s_n$.

Answer: $P = s_1 + s_2 + \cdots + s_n$. The perimeter is calculated by summing the lengths of all sides of the polygon.

Flashcard 8: State the formula for the area of a rhombus (or kite) with diagonals $d_1$ and $d_2$.

Answer: $A = \frac{1}{2}d_1d_2$. The area of a rhombus or kite is half the product of its diagonals.

Flashcard 9: What is the area of a trapezoid with $b_1=8$, $b_2=12$, and $h=5$?

Answer: $50$. Average the bases, multiply by the height, and halve the result for the area.

Flashcard 10: What is the area of a $6$ by $4$ rectangle with a $2$ by $1$ rectangular hole removed?

Answer: $22$. Subtract the area of the removed hole from the original rectangle's area.

Flashcard 11: State the formula for the area of a parallelogram with base $b$ and height $h$.

Answer: $A = bh$. The area of a parallelogram is the product of its base and height.

Flashcard 12: State the formula for the perimeter of a rectangle with length $l$ and width $w$.

Answer: $P = 2l + 2w$. The perimeter of a rectangle is twice the sum of its length and width.

Flashcard 13: State the formula for the area of a rectangle with length $l$ and width $w$.

Answer: $A = lw$. The area of a rectangle is found by multiplying its length by its width.

Flashcard 14: Identify the correct unit type for a polygon area measurement if side lengths are in centimeters.

Answer: $\text{cm}^2$. Area measurements use square units corresponding to the linear units of the sides.

Flashcard 15: What is the perimeter of a polygon with side lengths $3, 5, 7, 9,$ and $6$?

Answer: $30$. Sum all the given side lengths to compute the perimeter.

Flashcard 16: What is the area of a rectangle with $l=9$ and $w=4$?

Answer: $36$. Multiply the length by the width to find the area.

Flashcard 17: State the formula for the area of a triangle with base $b$ and height $h$.

Answer: $A = \frac{1}{2}bh$. The area of a triangle is half the product of its base and height.

Flashcard 18: State the formula for the area of a regular polygon with apothem $a$ and perimeter $P$.

Answer: $A = \frac{1}{2}aP$. The area of a regular polygon is half the product of its apothem and perimeter.

Flashcard 19: What is the area of a rhombus with diagonals $d_1=10$ and $d_2=6$?

Answer: $30$. Half the product of the diagonals gives the area.

Flashcard 20: What is the area of a regular polygon with apothem $a=9$ and perimeter $P=40$?

Answer: $180$. Half the product of the apothem and perimeter yields the area.

Flashcard 21: State the formula for the area of a trapezoid with bases $b_1, b_2$ and height $h$.

Answer: $A = \frac{1}{2}(b_1+b_2)h$. The area of a trapezoid is half the product of the sum of its bases and its height.

Flashcard 22: What is the perimeter of a square with side length $s=15$?

Answer: $60$. Multiply the side length by four to calculate the perimeter.

Flashcard 23: State the formula for the perimeter of a regular $n$-gon with side length $s$.

Answer: $P = ns$. For a regular polygon, the perimeter is the product of the number of sides and the length of one side.

Flashcard 24: What is the area of a $10$ by $8$ rectangle if a right triangle with legs $10$ and $8$ is removed?

Answer: $40$. Subtract the area of the removed triangle from the rectangle's area, leaving half the original.

Flashcard 25: What is the area of a parallelogram with base $b=11$ and height $h=5$?

Answer: $55$. Multiply the base by the height to obtain the area.