Level 8: A plot consists of a rectangular garden measuring 8 m by 10 m, surrounded by a path of constant width, as shown in the diagram. The total area of the plot (garden and path) is 143 m². 8 m Three studsyats, Kevin, Elaine, and Tony, have been given the problem of trying to fizd the width of the path. Each of them is using a different method, but all of them are using x to represent the width of the path. 10 m Kevin divides the path into eight pieces. He writes down the area of each piece in terms of x. He then forms an equation by setting the area of the path plus the area of the garden equal to the total area of the plot. (a) Write, in terms of x, the area of each section into Kevin's diagram below. (b) Write down and simplify the equation that Kevin should get. Give your answer in the form ax +bx+c 0. 8 m 10 m Equation: Kevin's Diagram

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
Important
ad-only _Content Library is read-only. Copy content from here to another location to edit it.
Level 8:
A plot consists of a rectangular garden measuring 8 m by 10 m,
surrounded by a path of constant width, as shown in the diagram.
The total area of the plot (garden and path) is 143 m'.
Three studsyats, Kevin, Elaine, and Tony, have been given the problem of
trying to fied the width of the path. Each of them is using a different
method, but all of them are using x to represent the width of the path.
10 m
Kevin divides the path into eight pieces. He writes down the area of each
piece in terms of x. He then forms an equation by setting the area of the
path plus the area of the garden equal to the total area of the plot.
(a) Write, in terms of x, the area of each section into Kevin's diagram below.
(b) Write down and simplify the equation that Kevin should
get. Give your answer in the form ax+bx +c=0.
8 m
10 m
Equation:
Kevin's Diagram
Transcribed Image Text:Important ad-only _Content Library is read-only. Copy content from here to another location to edit it. Level 8: A plot consists of a rectangular garden measuring 8 m by 10 m, surrounded by a path of constant width, as shown in the diagram. The total area of the plot (garden and path) is 143 m'. Three studsyats, Kevin, Elaine, and Tony, have been given the problem of trying to fied the width of the path. Each of them is using a different method, but all of them are using x to represent the width of the path. 10 m Kevin divides the path into eight pieces. He writes down the area of each piece in terms of x. He then forms an equation by setting the area of the path plus the area of the garden equal to the total area of the plot. (a) Write, in terms of x, the area of each section into Kevin's diagram below. (b) Write down and simplify the equation that Kevin should get. Give your answer in the form ax+bx +c=0. 8 m 10 m Equation: Kevin's Diagram
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education