undefined Solution Find the dimensions of the room if the total length of the border is 54 ft. Dimensions of the room is l = 15 f t . , b = 12 f t . . Given: Renee’s Decorative Service recommends putting a border around the top of the four walls in a dining room that is 3 ft. longer than it is wide. Concept Used: Perimeter is the distance around the outside of a shape. The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth Or, P = 2(length + breadth). Calculation: Length of wall is 3 ft. longer than it is wide. Let if wide (b) = x So length (l) = x+3 And the total length of the border (P) =54 ft. p e r i m e t e r = 2 ( l e n g t h + b r e a d t h ) P = 2 ( l + b ) P = 2 ( l + b ) 54 = 2 ( x + 3 + x ) 54 2 = 2 x + 3 27 = 2 x + 3 2 x = 27 − 3 2 x = 24 x = 24 2 x = 12 So length (l) = x+3 = 12 + 3 = 15 f t . And wide (b) = x = 12 f t . So, the dimensions of the room is l = 15 f t . , b = 12 f t . .

10th Edition

ISBN: 9780134781839

Author: Demana

Publisher: PEARSON

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Textbook Question

Chapter 1.7, Problem 36E

In Exercises 21−36, write an equation for the problem and solve the problem.

36. Interior Design Renée's Decorating Service recommends putting a border around the top of the four walls in a dining room that is 3 ft longer than it is wide. Find the dimensions of the room if the total length of the border is 54 ft.

Expert Solution & Answer

Solution

Find the dimensions of the room if the total length of the border is 54 ft.

Dimensions of the room is l=15ft., b=12ft. .

Given:

Renee’s Decorative Service recommends putting a border around the top of the four walls in a dining room that is 3 ft. longer than it is wide.

Concept Used:

Perimeter is the distance around the outside of a shape.
The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth Or, P = 2(length + breadth).

Calculation:

Length of wall is 3 ft. longer than it is wide.

Let if wide (b) = x

So length (l) = x+3

And the total length of the border (P) =54 ft.

perimeter=2(length+breadth) P=2(l+b)

P=2(l+b)54=2(x+3+x)542=2x+327=2x+32x=27−32x=24x=242x=12

So length (l) = x+3

=12+3=15ft.

And wide (b) = x

=12ft.

So, the dimensions of the room is l=15ft. , b=12ft. .

Chapter 1.7, Problem 35E

Chapter 1.7, Problem 37E

Chapter 1 Solutions

PRECALCULUS:...COMMON CORE ED.-W/ACCESS

Ch. 1.1 - Prob. 1QR Ch. 1.1 - Prob. 2QR Ch. 1.1 - Prob. 3QR Ch. 1.1 - Prob. 4QR Ch. 1.1 - Prob. 5QR Ch. 1.1 - Prob. 6QR Ch. 1.1 - Prob. 7QR Ch. 1.1 - Prob. 8QR Ch. 1.1 - Prob. 9QR Ch. 1.1 - Prob. 10QR

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - Prob. 51E Ch. 1.1 - 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Solution Summary: The author explains that Renee's Decorative Service recommends placing a border around the top of the four walls in the dining room that is 3 ft. longer than it is wide.

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