algebra
posted by Jennifer .
The area of the wall you are going to paint is 50 feet2. If the width is half the height, what are the dimensions of the wall? In answering this problem follow the steps below:
1. Represent the height as ‘x’ and then write the width in terms of x (for example, 2x, 5.5x, 0.5x, 0.3x).
2. Write down the formula for a rectangle’s area.
3. Substitute the values from step 1 and the original problem into the area formula.
What kind of equation do you need to solve in the end of step 3? How would you go about solving that equation? What other kinds of problems would lead you to this type of equation? Finally, what are the answers for the width and height?
Can you please explain step by step how you got the results? So I can best understand how to solve a similar problem? Thanks!

I will follow the suggested steps even though I don't think they are the best approach.
(I will do it the better way after)
let the height be x
then the width = (1/2)x (it said it was half the height)
(1/2)(x)(x) = 50
times 2
x^2 = 100
x=√100 = 10
so the height is 10
and the width is (1/2)(10) = 5
other way: (notice no fractions)
let the width be x
then the height is 2x (notice the width is 1/2 the height)
2x^2 = 50
x^2 = 25
x = √25 = 5
so the width is 5 and the
height is 2x = 10
Respond to this Question
Similar Questions

Physics
A) A partly full paint can has 0.747 U.S. gallons of paint left in it. What is the volume of the paint in cubic meters? 
Math
Use the 5 steps to solve this problem. Paint Express charges $30 per gallon of paint plus $1.10 per square fooet of wall space. Color Creations charges $24 per gallon of paint and $1.20 per square feet of wall space. Robert estimates … 
math
The area of the wall you are going to paint is 50 feet2. If the width is half the height, what are the dimensions of the wall? 
Physics
A partlyfull paint can has 0.83 U.S. gallons of paint left in it. (a) What is the volume of the paint, in cubic meters? 
Algebra 1 HELP
The number of gallons needed of paint needed to cover a wall varies directly with the area of the wall. The Robertsons find that they have used 1/2 gallon of pain to cover 540 square feet of wall. Which of the follow equations shows … 
physics
A partlyfull paint can has 0.40 gallons of paint left in it. (a) What is the volume of the paint, in cubic meters? 
math algebra
The amount of paint p needed to paint walls of a room varies directly as the area A of the wall of 2gallons of paint are needed to paint a wall with an area of 100sq. meters? 
Math
The amount of paint p needed to paint the walls of a room varies directly as the area A of the wall. If two gallons of paint is needed to paint a 40 sq meter wall, how many gallons of paint are needed to paint a wall with an area of … 
Social Studies
Stevie is moving up to the attic and wants to paint a wall white. The wall is a triangle with a base of 17 feet and a height of 12 feet. What is the area of the wall? 
Math
Laura is moving up to the attic and wants to paint a wall white. The wall is a triangle with a base of 7.5 feet and a height of 12.25 feet. What is the area of the wall?