math
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?
Please help with solving.

1.
width = half the height (x)
w = x/2
2.
area = width * height = x/2 * x
3. x^2/2 = 50  multiply by 2:
x^2 = 100  take square root:
x = 10
so, the height is 10 and the width is 5.
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 … 
algebra
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? 
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? 
Area and Perimeter Word Problems
1 liter of paint covers 10 square feet of wall. How many liters of paint does Bob need to buy if he wants to cover a wall that is 15ft by 8ft? 
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?