A’Leila is building a pen for her pet donkey. The pen is a rectangle with one side

Question

measuring b yards and the adjacent side measuring a yards. A’Leila knows that
a=1/3 b

Answer 1

To find the area of A’Leila's pen for her pet donkey, we first need to understand the relationship between the two sides of the rectangle. A’Leila has defined the sides $a$ and $b$ such that:

$$a=\frac{1}{3}b$$

Step 1: Express the area in terms of $b$

The area $A$ of a rectangle is given by the formula:

$$A=a\times b$$

Substituting $a$ from the given relationship:

$$A=\left(\frac{1}{3}b\right)\times b$$

Step 2: Simplify the expression

Now, simplify the expression:

$$A=\frac{1}{3}{b}^2$$

Conclusion

Thus, the area of A’Leila's pen in terms of $b$ is:

$$A=\frac{1}{3}{b}^2$$

If A’Leila knows the value of $b$, she can plug that value into this formula to find the area of the pen.