# Math

posted by .

A rectangle is 6 cm long and 5 cm wide. When each dimension is increased by x cm, the area is tripled. Find the value of x.

• Math -

(6+x)(5+x) = 3*(6*5)
x^2 + 11x + 30 = 90
x^2 + 11x - 60 = 0
(x+15)(x-4) = 0
x = 4 -- we like positive dimensions

check: (6+4)(5+4) = 90 = 3*30

## Similar Questions

1. ### 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 …
2. ### MATH OMG HELP

The base and height of an original rectangle are each increased by 15%. The area of the new rectangle is k/w times the area of the original rectangle. If k and w are relatively prime positive integers, find the value of k + w.
3. ### algebra

The sides of an rectangle was 5cm by 9cm. When both dimension were increased by an equal amounts the area of the rectangle increased by 120 cm^2 find the dimensions of the new rectangle.
4. ### math

joans rectangular garden is 6 meters long and 4 meters wide she plans to double the area of the garden by increasing each side by the same amount find the number of meters by which each dimension must be increased
5. ### math

A rectangle is 4 inches wide by 7 inches long. When the length and width are increased by the same amount, the area is incresed by 26 square inches. What are the dimensions of the new rectangle?
6. ### Algebra II

A rectangle is 5 inches wide and 6 inches long. If each side is increased by x, the area is tripled. What is the value of x?
7. ### math

Solve this problem plz... A rectangle has an area of 288 cm square.if the width is decreased by 1cm and length is increased by 1 cm the area would decreasedby 3 cm square.fin the original dimension of the rectangle.
8. ### math

the length of a rectangle is 8 cm more than its width. If the length is decreased by 9 and the width is tripled, the area is increased by 50%. What was the area of the original rectangle?
9. ### math

A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle?
10. ### Math

Rectangle A is 8 cm long and 4 cm wide. Rectangle B is 4 cm long and 2 cm wide. What is the ratio of the area of rectangle A to rectangle B?

More Similar Questions