SOLUTION: Noelle correctly adds the lengths of three sides of a rectangle and gets 88 cm. Ryan correctly adds the lengths of three sides of the same rectangle and gets 80 cm. What is the per

Question 768176: Noelle correctly adds the lengths of three sides of a rectangle and gets 88 cm. Ryan correctly adds the lengths of three sides of the same rectangle and gets 80 cm. What is the perimeter of the rectangle in cm?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Noelle correctly adds the lengths of three sides of a rectangle and gets 88 cm.
Ryan correctly adds the lengths of three sides of the same rectangle and gets 80 cm.
What is the perimeter of the rectangle in cm?
:
We can write this as two equations:
:
2L + W = 88
L + 2W = 80
:
multiply the 1st equation by 2, subtract the 2nd equation
4L + 2W = 176
L + 2W = 80
-------------------Subtracting eliminates W, find L
3L = 96
L = 96/3
L = 32 is the length
:
Find the width
32 + 2W = 80
2W = 48
W = 24 is the width
:
I'll let you find the perimeter

RELATED QUESTIONS
Draw a rectangle of perimeter 30 cm and lengths of sides in the ratio 1 :... (answered by MathLover1)

In a right angled triangle the length of the hypotenuse is (13x + 1) cm. The lengths of... (answered by ben720)

The perimeter of a triangle is 51 cm. The lengths of its sides are consecutive odd... (answered by orca,CHICKEN-MATH-PRO,ikleyn)

he perimeter of a rectangle is 48 cm. Find the lengths of the sides of the rectangle... (answered by josgarithmetic,ikleyn)

The width of a rectangle is fixed at 11 cm. What lengths will make the perimeter greater... (answered by Fombitz)

The width of a rectangle is fixed at 24 cm. What lengths will make the perimeter greater... (answered by rfer)

The perimeter of a triangle is 36 cm and one of the legs is 3 cm larger than the other.... (answered by cleomenius)

Laura find the perimeter of a rectangle as 5x6^2-2x+8 units. if three sides of the... (answered by stanbon)

Derrick is thinking of a negative integer. When he multiples the integer by itself and... (answered by fractalier)