SOLUTION: The perimeter of a parallelogram is 36 cm.if a diagonal is 6cm less its length but 2 cm more than its width,what are the dimensions of its parallelogram?

Question 520039: The perimeter of a parallelogram is 36 cm.if a diagonal is 6cm less its length but 2 cm more than its width,what are the dimensions of its parallelogram?
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Since the opposite sides of the parallelogram are equal and the perimeter is 36, half of the perimeter is 18 cm, and express the sum of two consecutive sides of the parallelogram.
Lets the width = x cm then the length will be 18-x cm. Since the diagonal is 6 cm less its length we write: d=18-x-6=12-x cm. Since the diagonal is 2 more than its width we write: d=x+2 cm.Now we can write:x+2=12-x, solving this equation we get x=5 cm.
Answer:The dimensions of the parallelogram are: width 5 cm and the length 18-5=13 cm.
RELATED QUESTIONS
The length of a rectangle is 6 cm more than two times the width. If the perimeter of the... (answered by checkley77)

the length of a rectangle is 8 cm more than its width if its perimeter is 88 cm what are... (answered by MathLover1)

The length of a rectangle is 2 cm more than four times the width. If the perimeter of the (answered by user_dude2008)

The length of a rectangle is 15 cm more than its width. A second rectangle whose... (answered by mananth)

The width of a rectangle is 4 cm less than half its length. If the perimeter of the... (answered by josgarithmetic)

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

The length of a rectangle is 3 m more than twice its width. If the perimeter of the... (answered by TimothyLamb)

The length of a rectangle is 3 cm more than twice its width. If the perimeter of the... (answered by ikleyn)

The length of a rectangle is 6 cm more than four times the width. If the perimeter of the (answered by richwmiller)