Question

The length of a rectangular garden is $30$ yards more than the width. The perimeter is $300$ yards. Find the length and width.

Short answer

Length is$90$yards and width is$60$yards.

Step-by-step solution

Step 1. Given information

The length of a rectangular garden is$30$ yards more than the width. The perimeter is$300$yards.

Step 2. Finding unknowns

Let the width is $b=x$

Therefore the length is $l=x+30$

According the question,

$$\begin{gathered} 2(l+b)=300 \\ 2(x+30+x)=300 \\ 2(2x+30)=300 \\ 4x+60=300 \\ 4x=240 \\ x=60=b \end{gathered}$$

And the length is

$$\begin{gathered} l=x+30 \\ =60+30 \\ =90 \end{gathered}$$