math
posted by annie
If the rectangles width is trippled and its length is doubled the perimeter of the new rectangle is 92 centimeter greater than the original perimeter what is the area of the original rectangle?

Reiny
original perimeter = 2L + 2w
new length = 2L
new width = 3W
new perimeter = 4L + 6w
4L+6w  (2L+2w) = 92
2L + 4w = 92
L + 2w = 46
L = 462w
area of original = lw
= w(462w)
= 46w  2w^2
Respond to this Question
Similar Questions

math
a rectangle is twice as long as it is wide. if both of its dimensions are increased by 4m, its area is increased by 88m^2 find the dimensions of the original rectangle Original rectangle = w for width and 2w for length. Area = w x … 
math
The length of a rectangle is 2 times its width and its perimeter is 42 cm. A ssquare is formed by putting together 2 rectangles like this. Find the length and width of the edge and the area of this square. "A ssquare is formed by putting … 
Geometry
The perimeter of a rectangle is 76 feet. If the width is doubled and the length is halved, the new rectangle will have a perimeter of 62 feet. Find the dimensions of the original rectangle. Define your variables. 
maths
the length of a rectangle is 3 less than 5 times its width. Write a simpified algebriac expression for the perimeter of a rectangle. If the rectangle width is tripled and its length is doubled,the perimeter of new rectangle is 92cm … 
Math
Determine the perimeter and area of a rectangle that has a width of 6 inches and a length of 8 inches. Using a ratio of 1:2, draw a similar rectangle that is double the width and length of the first shape. Determine the perimeter and … 
algebra
The length of a rectangle is 4 times its width. If the length of the rectangle is cut in half, the new perimeter is which percent of the original perimeter 
math
The perimeter of the rectangle is 24 cm, the long side is x + 2, the width side is x , if a new rectangle is created by doubling the lengths of the original rectangle's longest sides, what would the new rectangle's perimeter be ? 
math
If the rectangles width is trippled and its length is doubled the perimeter of the new rectangle is 92 centimeter greater than the original perimeter what is the area of the original rectangle? 
math
The length of a rectangle is twice the width. If the length is increased by 6, and the width is doubled, a new rectangle is formed whose perimeter is 20 more than the perimeter of the original rectangle. Find the dimensions of the … 
Math
if you fold a square paper vertically, the new rectangle has a perimeter of 39cm. what is the area of the original square?