SOLUTION: A mural is to be painted on the wall that is 15m long and 12m high. A border of uniform width is to surround the mural. If the mural is to have an area of 135m^2, how wide must the

Algebra.Com
Question 1181262: A mural is to be painted on the wall that is 15m long and 12m high. A border of uniform width is to surround the mural. If the mural is to have an area of 135m^2, how wide must the border be to completely cover the wall?
Thanks

Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.

Let w be the uniform width of the border.


Then you have this area equation to find "w"


    (15-2w)*(12-2w) = 135   square meters.


Simplify; reduce to the standard quadratic equation and solve using the quadratic formula.

---------------

Closely related lessons to it are the lessons
    - Problems on the area and the dimensions of a rectangle surrounded by a strip
    - Cynthia Besch wants to buy a rug for a room
    - Problems on a circular pool and a walkway around it
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Dimensions and the area of rectangles and circles and their elements".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.




RELATED QUESTIONS

An artist intends to paint a 45-square-foot rectangular mural on a wall that is 13 feet... (answered by josgarithmetic)
Bill wants to put a large mural on a wall that is 9 1/3 feet long and 8 1/8 feet wide.... (answered by Alan3354)
An artist intends to paint a 60-square-foot mural on a wall as shown in the illustration. (answered by Alan3354)
An artist intends to paint a 60 square foot mural on large wall as shown in the... (answered by Alan3354)
Wally Beige has painted a rectangular mural that is 8 ft tall and 12 ft wide. He plans to (answered by ikleyn,josgarithmetic)
A canvas for a mural is the shape of a right triangle. Before the mural can be painted... (answered by math-vortex)
juanita and lauren are painting a circular mural on one wall of the community center the... (answered by ankor@dixie-net.com)
Bob has designed a square mural that measures 10 feet on each side. Bill has also... (answered by josgarithmetic)
your class plans to make a mosaic mural out of 1-inch by 1-inch colored tiles. the... (answered by Tutorteddy.Com)