Question

One side of a rectangle is three yards longer than twice the length of the other side. If the perimeter is $27$ yards, what is the length of the other side?

Answer 1

Use the formula of perimeter of rectangle:

One side of rectangle is three yards longer than twice the other side.

Perimeter of the rectangle is $27yards$

Let one side of a rectangle be $x$

Hence, other side of a perimeter will be $(2x+3)yards$

As perimeter of a rectangle is $2(length+breadth)$.

Now, putting the values in formula.

$$\begin{gathered} Perimeter=2[x+(2x+3\left)\right] \\ 27=2(3x+3) \\ 27=6x+6 \\ 21=6x \\ x=3.5 \end{gathered}$$

Now, putting the value of $x$ to find other side of rectangle.

$$\begin{gathered} =(2x+3) \\ =(2\times 3.5+3) \\ =7+3 \\ =10 \end{gathered}$$

Therefore, length of other side of the rectangle is $10yards$.