SOLUTION: The diagonal of a rectangle platform is square root of 20 cm. If both dimensions are increased by 2 cm, then the resulting perimeter would be 5/3 of the original perimeter. Find th

Question 140784: The diagonal of a rectangle platform is square root of 20 cm. If both dimensions are increased by 2 cm, then the resulting perimeter would be 5/3 of the original perimeter. Find the dimensions of the rectangle.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If the diagonal is , then , thank you Mr. Pythagoras.

The original perimeter is and the larger perimeter is , but the larger is 5/3 of the smaller so:

or better for our purposes

Factors:

So W = 4 or W = 2, meaning L = 2 or L = 4.

Check:

Checks.
RELATED QUESTIONS
The diagonal of a rectangle platform is square root of 20 cm. If both dimensions are... (answered by Fombitz)

The dimensions of a rectangle are 6cm by 8cm. When both dimensions are increased by equal (answered by checkley75)

The length of a rectangle is 2 cm longer than its width. If the diagonal of the rectangle (answered by jorel1380)

the diagonal of a rectangle is 18 cm long if the base is 9 square root of 3 cm find its... (answered by mananth)

A rectangle is 5 cm. longer than it is wide. If its length and width both increased by 3... (answered by josmiceli)

the length of a rectangle is 6cm and the width 3 cm. if both are increased by the same... (answered by Horlaye)

The area of a rectangle is 64 square centimeters . If the area is increased by 25%, which (answered by oscargut)

A rectangle is 5cm. longeer than it is wide.If its length and width are both increased by (answered by ankor@dixie-net.com)

If the perimeter of a rectangle is 46 cm and the area is 132 square cm, then what are the (answered by richwmiller)