ISEE Upper Level (grades 9-12) Quantitative Reasoning › Acute / Obtuse Isosceles Triangles
Figure NOT drawn to scale.
In the above figure, is the midsegment of isosceles Trapezoid
. Also,
.
What is the perimeter of Trapezoid ?
A rectangle is two feet longer than it is wide; its perimeter is 11 feet. What is its area in square inches?
The area of a rectangle is 4,480 square inches. Its width is 70% of its length.
What is its perimeter?
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
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
The sum of the lengths of three sides of a regular pentagon is one foot. Give the perimeter of the pentagon in inches.
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
and
are right triangles, with right angles
, respectively.
Which is the greater quantity?
(a) The perimeter of
(b) The perimeter of
Note: Figure NOT drawn to scale
Refer to the above triangle. Starting at point A, an insect walks clockwise along the sides of the triangle until he has walked 75% of the length of . What percent of the perimeter of the triangle has the insect walked?
The length of a side of a regular octagon is one and a half times the hypotenuse of the above right triangle. Give the perimeter of the octagon in feet.