Question

A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is $9$ feet and sum of the lengths of the painted sides is $37$ feet, then what is the area of the parking space in square feet?

• A. $46$
• B. $81$
• C. $126$
• D. $252$

Answer 1

The correct option is C $126$

Let $l=9$ft

$\Rightarrow l+2b=37$

$\Rightarrow 9+2b=37$

$\Rightarrow 2b=37-9=28$

$\Rightarrow b=\frac{28}{2}=14$ft

Area $=lb=9\times 14=126$ sq. ft.