An inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire area of the pool incdluding the walkway is 924 ft', find the width of the walkway.

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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5. An inground rectangular pool has a concrete
pathway surrounding the pool. If the pool is 16
feet by 32 feet and the entire area of the pool
incdluding the walkway is 924 ft’, find the width
of the walkway.
6. Given the diagram below, if the area of the
shaded region is 103 ft, what are the dimensions
of the inside rectangle?
2r
3x - 2
Transcribed Image Text:5. An inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire area of the pool incdluding the walkway is 924 ft’, find the width of the walkway. 6. Given the diagram below, if the area of the shaded region is 103 ft, what are the dimensions of the inside rectangle? 2r 3x - 2
1. The length of a rectangle is 4 meters less than
twice its width. The area of the rectangle is
70 m. Find the dimensions of the rectangle.
2. The dimensions of a square are altered so that
one dimension is increased by 7 feet, while the
other is decreased by 2 feet. The area of the
resulting rectangle is 90 ft. Find the original
area of the square.
3. The shorter leg of a right triangle is 8 less than
the hypotenuse. The longer leg is 1 less than the
hypotenuse. Find the perimeter of the triangle
4. The height of a trapezoid can be expressed as
x-4, while the bases can be expressed as x + 4
and x + 9. If the area of the trapezoid is 99
cm?, find the length of the larger base.
Transcribed Image Text:1. The length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70 m. Find the dimensions of the rectangle. 2. The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The area of the resulting rectangle is 90 ft. Find the original area of the square. 3. The shorter leg of a right triangle is 8 less than the hypotenuse. The longer leg is 1 less than the hypotenuse. Find the perimeter of the triangle 4. The height of a trapezoid can be expressed as x-4, while the bases can be expressed as x + 4 and x + 9. If the area of the trapezoid is 99 cm?, find the length of the larger base.
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