se 10 ctangle has a perimeter of 14 cm and length x cm. Ghow tt width of the rectangle is (7 – x) cm and hence that the area A e rectangle is given by the formula A = x(7 - x). Draw raph, plotting x on the horizontal axis with a scale of to 1 unit, and A on the vertical axis with a scale of 1 cm %3D nit. x from 0 to 7. From the graph find: e area of the rectangle when x = 2.25 cm e dimensions of the rectangle when its area is 9 cm? e maximum area of the rectangle e length and width of the rectangle corresponding to the

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.9: Modeling With Equations
Problem 23E
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Exercise 10
LA rectangle has a perimeter of 14 cm and length x cm. Gaw t
the width of the rectangle is (7 – x) cm and hence that the orea A
of the rectangle is given by the formula A = x(7-x). Draw
the graph, plotting x on the horizontal axis with a scale of
2 cm to 1 unit, and A on the vertical axis with a scale of 1 cm
%3D
to 1 unit.
Take x from 0 to 7. From the graph find:
a) the area of the rectangle when x= 2.25 cm
b) the dimensions of the rectangle when its area is 9 cm?
c) the maximum area of the rectangle
d) the length and width of the rectangle corresponding to the
maximum area
e) what shape of rectangle has the largest area.
Transcribed Image Text:Exercise 10 LA rectangle has a perimeter of 14 cm and length x cm. Gaw t the width of the rectangle is (7 – x) cm and hence that the orea A of the rectangle is given by the formula A = x(7-x). Draw the graph, plotting x on the horizontal axis with a scale of 2 cm to 1 unit, and A on the vertical axis with a scale of 1 cm %3D to 1 unit. Take x from 0 to 7. From the graph find: a) the area of the rectangle when x= 2.25 cm b) the dimensions of the rectangle when its area is 9 cm? c) the maximum area of the rectangle d) the length and width of the rectangle corresponding to the maximum area e) what shape of rectangle has the largest area.
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