The dimensions of a door are 3 ft wide by 7 ft 6 in high. If the same amount is added to each dimension, the area is increased by 18 ft2. (See the figure below.) 7.5 ft A rectangle is shown. Inside the rectangle is a centered, smaller rectangle. The length of the bottom of the smaller rectangle is labeled 3 ft and the length of the left side of the smaller rectangle is labeled 7.5 ft. The distance between a side of the smaller rectangle and the same side of the larger rectangle is labeled x. Find the dimensions of the new door (in ft). height 12 X ft width 7.5 X ft

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,...
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The dimensions of a door are 3 ft wide by 7 ft 6 in high. If the same amount is added to each dimension, the area is
increased by 18 ft2. (See the figure below.)
7.5 ft
A rectangle is shown. Inside the
rectangle is a centered, smaller
rectangle. The length of the bottom
of the smaller rectangle is labeled
3 ft and the length of the left side
of the smaller rectangle is labeled
7.5 ft. The distance between a side
of the smaller rectangle and the
same side of the larger rectangle is
labeled x.
Find the dimensions of the new door (in ft).
height
12
X ft
width
7.5
X ft
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Transcribed Image Text:The dimensions of a door are 3 ft wide by 7 ft 6 in high. If the same amount is added to each dimension, the area is increased by 18 ft2. (See the figure below.) 7.5 ft A rectangle is shown. Inside the rectangle is a centered, smaller rectangle. The length of the bottom of the smaller rectangle is labeled 3 ft and the length of the left side of the smaller rectangle is labeled 7.5 ft. The distance between a side of the smaller rectangle and the same side of the larger rectangle is labeled x. Find the dimensions of the new door (in ft). height 12 X ft width 7.5 X ft Need Help? Read It
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