In this question , it is given that, Perimeter of a rectangular room is 270 yards. Longer side of the room is 15 yards longer than the shorter side.
So if we let shorter side be x, then longer side is
[tex] x+15 [/tex]
And perimeter is equal to sum of all sides, that is
[tex] x+x+15+x+x+15=270 \\ 4x+30=270 \\ 4x=240 \\ x=60 [/tex]
So the smaller side is 60 yards , and longer side is 15 more then 60 that is 75 yards .
Answer: The shorter side is 20 yards and the longer side is 35 yards.
Step-by-step explanation:
Since we have given that
Perimeter of a rectangular room = 270 yards
Let the shorter side be 'x'.
Let the longer side be 'x+15'.
As we know the formula for perimeter:
Perimeter is given by
[tex]270=2(l+b)\\\\270=2(x+x+15)\\\\\dfrac{270}{2}=2x+15\\\\135=2x+15\\\\135-15=2x\\\\120=2x\\\\\dfrac{120}{2}=x\\\\x=20[/tex]
So, the shorter side is 20 yards and the longer side is 20+15=35 yards.
