Pentagons

Practice Questions

ISEE Upper Level (grades 9-12) Quantitative Reasoning › Pentagons

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1

The sum of the lengths of three sides of a regular pentagon is one foot. Give the perimeter of the pentagon in inches.

2

One side of a regular pentagon is 20% longer than one side of a regular hexagon. Which is the greater quantity?

(A) The perimeter of the pentagon

(B) The perimeter of the hexagon

3

Trapezoid

Figure NOT drawn to scale.

In the above figure, is the midsegment of isosceles Trapezoid . Also, .

What is the perimeter of Trapezoid ?

4

A rectangle is two feet longer than it is wide; its perimeter is 11 feet. What is its area in square inches?

5

The area of a rectangle is 4,480 square inches. Its width is 70% of its length.

What is its perimeter?

6

Which quantity is greater?

(a) The perimeter of a square with area 10,000 square centimeters

(b) The perimeter of a rectangle with area 8,000 square centimeters

7

A pentagon with a perimeter of one mile has three congruent sides. The second-longest side is 250 feet longer than any one of those three congruent sides, and the longest side is 500 feet longer than the second-longest side.

Which is the greater quantity?

(a) The length of the longest side of the pentagon

(b) Twice the length of one of the three shortest sides of the pentagon

8

One side of a regular pentagon is 20% longer than one side of a regular hexagon. Which is the greater quantity?

(A) The perimeter of the pentagon

(B) The perimeter of the hexagon

9

One side of a regular hexagon is 20% shorter than one side of a regular pentagon. Which is the greater quantity?

(A) The perimeter of the pentagon

(B) The perimeter of the hexagon

10

Trapezoid

The above diagram depicts trapezoid . Which is the greater quantity?

(a)

(b)

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