SOLUTION: A rectangle with a perimeter of 30 centimeters is twice as long as it is wide. What is the area of the rectangle in square centimeters?

Question 840566: A rectangle with a perimeter of 30 centimeters is twice as long as it is wide. What is the area of the rectangle in square centimeters?
Found 2 solutions by stanbon, thejackal:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A rectangle with a perimeter of 30 centimeters is twice as long as it is wide. What is the area of the rectangle in square centimeters?
--------
width = w
length = 2w
------
P = 2(length + width)
30 = 2(2w+w)
15 = 3w
width = 5 cm
length = 10 cm
-----
Area = 5*10 = 50 cm^2
-----------------------------
Cheers,
Stan H.
==================
Answer by thejackal(72) (Show Source): You can put this solution on YOUR website!
perimeter P = 2w + 2l where w = width and l = length
we are told that the length is twice as long as it is wide which said differently means its 2 times the width
we can thus write the perimeter P as P = 2w + 2(2w)
so lets solve for w; 30 = 2(w) + 4(w); 30 = 6(w) hence w = 5 therefore l will 2*5 = 10
now to find the area with is w * l = 5 * 10 = 50 cm2
RELATED QUESTIONS
A rectangle is twice as long as it is wide. The perimeter of the rectangle is 36 cm.... (answered by josgarithmetic)
a rectangle is twice as long as it is wide its area is 450 sq centimeters,what are the... (answered by mananth)
a rectangle is twice as long as it is wide. the perimeter is 72cm. what is the area of... (answered by rajagopalan)
The shaded rectangle is twice as long as it is wide. The perimeter of the rectangle is... (answered by josgarithmetic)
A rectangle is twice as long as it is wide. What is the perimeter if its area is 32 cm2? (answered by algebrahouse.com,josgarithmetic)
a rectangle is twice as long as it is wide. what is the ratio of the wide of the... (answered by dfrazzetto)
A rectangle is twice as long as it is wide. If the width of the rectangle is 3 inches,... (answered by solver91311)
A rectangle has as many square inches of area as it has inches of perimeter. The... (answered by MathLover1,josgarithmetic,ikleyn)
A rectangle has the perimeter of 36 feet. It is twice as long as it is wide. What are the (answered by Boreal)