Question 1

We will check if the area is the product of length and breadth.

Step 1 — Note the dimensions

The problem gives us the length. Let the length be L. $L = \frac{1}{2} \text{ unit}$

The problem also gives us the breadth. Let the breadth be B. $B = \frac{1}{4} \text{ unit}$

The problem states the area. Let the area be A. $A = \frac{1}{8} \text{ square units}$

Step 2 — Calculate the product

Let us multiply the length and breadth. This is $L \times B$. $L \times B = \frac{1}{2} \times \frac{1}{4}$

We multiply the numerators. We multiply the denominators. $L \times B = \frac{1 \times 1}{2 \times 4}$

$L \times B = \frac{1}{8}$

$\boxed{\frac{1}{8} \text{ square units}}$

Step 3 — Compare the values

We found the product of length and breadth. The product is $\frac{1}{8}$ square units. The problem states the area is $\frac{1}{8}$ square units. Both values are the same.

Answer

Yes, the area is equal to the product of length and breadth.