Given:
Sides of a rectangle are 9.5x+14.3y cm and 11.7x+22.8y cm.
To find:
The perimeter of the cardboard in terms of x and y.
Solution:
We know that, perimeter of a rectangle is
[tex]Perimeter=2(length +width)[/tex]
Now,
[tex]Perimeter=2[(9.5x+14.3y) +(11.7x+22.8y)][/tex]
On combining like terms, we get
[tex]Perimeter=2[(9.5x+11.7x) +(14.3y+22.8y)][/tex]
[tex]Perimeter=2[21.2x +37.1y][/tex]
using distributive property, we get
[tex]Perimeter=2(21.2x) +2(37.1y)[/tex]
[tex]Perimeter=42.4x+74.2y[/tex]
Therefore, the perimeter of the cardboard in terms of x and y is 42.4x+74.2y cm.
