Question

Perimeter of a rectangular room is 270 yards. Longer side of the room is 15 yards longer than the shorter side. Find the dimensions of the room.

Answer 1

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

$x+15$

And perimeter is equal to sum of all sides, that is

$x+x+15+x+x+15=270 \\ 4x+30=270 \\ 4x=240 \\ x=60$

So the smaller side is 60 yards , and longer side is 15 more then 60 that is 75 yards .

Answer 2

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

$270=2(l+b)\\\\270=2(x+x+15)\\\\\dfrac{270}{2}=2x+15\\\\135=2x+15\\\\135-15=2x\\\\120=2x\\\\\dfrac{120}{2}=x\\\\x=20$

So, the shorter side is 20 yards and the longer side is 20+15=35 yards.