SOLUTION: what is the length and width of a rectangle with the given the given perimeter 19.9 cm here is the original question: The perimeter of a rectangle is about 19.9 cm. If
Algebra.Com
Question 937116: what is the length and width of a rectangle with the given the given perimeter 19.9 cm here is the original question: The perimeter of a rectangle is about 19.9 cm. If you double the width of the rectangle the perimeter is about 25.7 cm. Find the dimensions of the smaller rectangle. Round the given values to the nearest integer. Use the rounded values to write and solve a system of equations to find the length and the width of the rectangle.
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Original rectangle: w for width, L for length.
Let p=19.9, the perimeter.
New rectangle: 2w for width and still L for length.
Let P=25.7, the perimeter of the newer, newer, BIGGER rectangle.
Notice different case levels for each rectangle perimeter.
EQUATIONS
Simplify the system to
The unknowns for which to solve are w and L. P and p are already known, given.
Elimination Method is a good way to begin handling the system.
, the symbolic result for width w.
Taking the simple system but multiplying first equation by 2,
Now subtract the second equation from the first equation to eliminate w.
, symbolic result for length L.
RELATED QUESTIONS
The perimeter of a rectangle is 50 cm. The length is 9 cm more than the width. What is... (answered by ewatrrr)
The length of a rectangle is 6 centimeters less than twice its width. The perimeter of... (answered by MathLover1)
The rectangle shown has a perimeter of 72 cm and the given area. It's length is 6 more... (answered by ikleyn)
what is the perimeter of a rectangle with the length of 2 cm and a width of 3... (answered by jim_thompson5910)
The perimeter of a rectangle is 36 cm. If the length is doubled, the perimeter is 60 cm. (answered by josgarithmetic)
The perimeter of a rectangle is 32 cm given that the length is 3times the width what is... (answered by ikleyn)
The perimeter of a rectangle is 86 cm the length is 19 cm greater than the... (answered by TimothyLamb)
A given rectangle has a length 2 feet longer than it's width. If the width is shortened... (answered by josgarithmetic)
the length of a rectangle is thrice width. if the length is increase by 8 cm and width is (answered by mohanraj04)