SOLUTION: a rectangular garden 10 feet wide and 12 feet long is surrounded by a rock border of uniform width. the area of the garden and rock border combined is 168 square feet. what is the

Question 304888: a rectangular garden 10 feet wide and 12 feet long is surrounded by a rock border of uniform width. the area of the garden and rock border combined is 168 square feet. what is the width of the rock border?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(10+2x)(12+2x)=168
120+44x+4x^2-168=0
4x^2+44x-48=0
4(x^2+11x-12)=0
4(x+12)(x-1)=0
x-1=0
x=1 ft. ans. for the width of the rock border.
Proof:
(10+2*1)(12+2*1)=168
(10+2)(12+2)=168
12*14=168
168=168
RELATED QUESTIONS
A garden is rectangular with a width of 10 feet and a length of 12 feet. If it is... (answered by mananth)

A photograph is 10 inches long and 8 inches wide. It is surrounded by a border of... (answered by josmiceli)

A small rectangular playground that is 10 feet by 14 feet is going to have a grass border (answered by checkley77)

A garden is rectangular with a width of 12 feet and a length of 6 feet. If it is... (answered by josgarithmetic)

Please explain how to solve: a rectangular pool 20 feet wide and 60ft long is surrounded... (answered by Alan3354)

Area: A garden is rectangular with a width of 8 feet and a length of 18 feet. If it is... (answered by ikleyn,addingup,MathTherapy)

A grass-plot, 18 yards long and 12 wide, is surrounded by a border of flowers of a... (answered by josgarithmetic)

A landscape architect designed a decorative grass border around a large community garden. (answered by scott8148)

If a rectangular garden is 12 feet long and 8 feet wide, find the area of the garden. (answered by Tobiasz)