# 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?

1. 👍 0
2. 👎 0
3. 👁 114
1. 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 = 46-2w

area of original = lw
= w(46-2w)
= 46w - 2w^2

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### 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?

asked by annie on January 30, 2014
2. ### algebra

give the demensions of rectangles with the perimeters of 70 feet and length-to-width ratios of 3 to 4, 4 to 5, and 1 to 1. Ok, the perimeter is 70 and perimeter = 2(length + width) The ratio is length:with=3:4 so length =

asked by christine on September 12, 2006
3. ### math

what would the dimensions of a retangle be whose perimeter is 50(P=50)inches when the length is 2x-5 ane the width is unknown The width must be 25 - (2x-5) = 30-2x, since the sum of the length and width must be half the perimeter.

asked by Sissy on April 22, 2007
4. ### math

Recognize that rectangles that have the same area can have different perimenters. Do rectangles with the same area necessarily have the same perimeter?Give an example to support your answer. How I would handle this is to first

asked by yoko on March 14, 2007
5. ### basic geometric

10. a rectangle has width the same as a side of a square whose perimeter is 20m. the length of the rectangle is 9m. find the perimeter of this rectangle. 34. The width of a rectangular picture is one-half the length. The perimeter

asked by vero on March 12, 2007
6. ### geometric

The perimeter of a rectangular carpet is 70feet. The with is three -fourths the length .Find the width. 38. The length of a rectagular room is six times as the width . The perimeter 84 yards. find the width. 39. The width of a

asked by baby girl on March 13, 2007
7. ### 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

asked by aisha on November 24, 2010
8. ### Math

The perimeter of a rectangle is 46m. If the width were doubled and the length were increased by 12m, the perimeter would be 82m. What are the length and width of the rectangle?

asked by Mona on July 24, 2011
9. ### geometry

the perimeter of a rectangle is 70m. if the width were doubled and length were increased by 24m, the perimeter would be 142m. what are the length and width of the rectangle?

asked by lucky on December 14, 2010
10. ### math

The perimeter of a rectangle is 66m. if the width were doubled and the length were increased by 24m, the perimeter would be 132m. What are the length and width of the rectangle

asked by miriam on December 4, 2018

More Similar Questions