Question

What is the area of the above-depicted rectangular park? If $x=3;y=2.$

• A. $90$ unit${}^2$
• B. $75$ unit${}^2$
• C. $45$ unit${}^2$
• D. None of the above

Answer 1

The correct option is A $90$ unit${}^2$

As per the above figure,
Length of the park $=5x$
Breadth of the park $=3y$

$\underset{–}{\text{Need to Find:}}$ Area of the park

As given in hint,
Area of a rectangle $=$ Length $\times$ Breadth
$\Rightarrow$ Area of the park $=5x\times 3y=15xy$

Now, by substituting the value of $x$ and $y$ in area expression we get:

Area of park $=15xy=15\times 3\times 2=90$
$[\because x=3;y=2]$

As a result, area of the rectangular park $=90$ unit${}^2.$

Therefore, option (a.) is the correct choice.