Homework Help: Algebra

Posted by Naibe on Thursday, January 24, 2013 at 11:21pm.

You are planning to build a walkway that surrounds a rectangular garden that is 10ft by 9ft. The width of the walkway around the garden is unknown, but it will be the same on every side.
a)what is the perimeter of the walkway along the outer edge ?
b) what is the combined area of the garden and the walkway ?
c)find the combined area when the width of the walkway is 4ft

Algebra - Reiny, Friday, January 25, 2013 at 12:19am
garden:
length = 10 ft
width = 9 ft

garden including walkway:
length = 10+2x
width = 9+2x

a) perimeter = 2(10+2x) + 2(9+2x)
= 20 + 4x + 18 + 4x
= 8x + 38

b) area of whole thing
= (10+2x)(9+2x)
= 90 + 38x + 4x^2

c) when x=4
area according to formula = 90 + 38(4) + 4(4^2) = 306

area using arithmetic:
length = 18
width = 17
area = 18x17=306
Algebra - Naibe, Friday, March 1, 2013 at 12:45am
The length of a rectangular rug is twice its width. The rug is centered in a rectangular room. Each edge is 3ft. From the nearest wall. What is the area of the room?

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