A free-form plane figure in framed inside of a 24 by 24 grid that represents a 24-foot by 24-foot square. To find its area, 3,000 random points are generated, and 870 of them land inside the irregular region. What is the area of the irregular region, to the nearest integer?

A free-form plane figure in framed inside of a 24 by 24 grid that represents a 24-foot by 24-foot square. To find its area, 3,000 random points are generated, and 870 of them land inside the irregular region. What is the area of the irregular region, to the nearest integer?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Similar questions

Nick cuts a piece of string so that it goes all they way around the outside of the shape and then forms his piece of string into a square on top of graph paper. Using the graph paper Nick gets a good estimate for the area of his string square and then uses the square’s area in his estimate for the area of the original irregular shape. Discuss whether Nick’s method is a legitimate way to estimate the area of irregular shapes.
How many different squares in there in 8 by 8 table square?
How many blockwalks on a 14 by 14 grid are there which do not cross the railroad tracks, but which visit the diagonal after 6 steps and after 20 steps (and perhaps elsewhere)?
There are four primary strategies for determining the area of two-dimensional figures and shapes. Explain each strategy. Use an example for each. a. counting square units b. subdividing the shape into pieces, finding the areas of the pieces and adding the areas together c. enclosing the shape in a rectangle, finding the area outside of the shape but inside the rectangle and subtracting d. using a formula.
. Twenty-four 1cm × 1cm squares are used to tile a rectangle. (a) Find the dimensions of all possible rectangles. (b) Which of the above rectangles in part (a) has the largest perimeter?
A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below. Select the correct answer below: Fenced in Region Three of the sides will require fencing and the fourth wall already exists. If the farmer has 144 feet of fencing, what are the dimensions of the region with the largest area? 36 feet by 72 feet 44 feet by 64 feet 24 feet by 84 feet 32 feet by 76 feet 20 feet by 88 feet I I I
Represent the shaded part of the grid a.) As a fraction of the whole grid in lowest terms. b.) As a decimal rounded to the hundredths place.
Consider a 10 X 10 grid of squares. Using only Fibonacci numbers 1,2,3,5,and 8 construct 7 rectangles built from blocks starting from the ‘center’ of the grid with sizes that have base and height sizes using only these numbers. The base will always be a larger number. Compute the ratio of the longer side to the shorter side for each rectangle, and for several more continuing the same pattern..
Consider the pentagon How many non-overlapping triangles can an n-sided figure be split into?