The area of a square of side 18 cm is the same as that of a rectangle

1.	The area of a square of side 18 cm is the same as that of a rectangle of breadth 12 cm. What is the length of the rectangle?
Answer» ong>Answer :- The LENGTH of the rectangle is 27 cm. Given :- The area of a square of side 18 cm is the same as that of a rectangle of BREADTH 12 cm. To find :- The length of the rectangle. Step-by-step EXPLANATION :- Before finding the length of the rectangle, let's find the area of the square first! ----------------- We know that :- $\underline{\boxed{\sf Area \: of \: a \: square = Side \times Side.}}$ Here, Side = 18 cm. Hence, $\boxed{\sf Area = 18 \times 18}$ $\overline{\boxed{\sf Area = 324 \: cm^2}}$ Hence, the area of the square is 324 cm². ----------------- Now, it has been given that the area of the square and the rectangle is same. So, the area of the rectangle is 324 cm². Therefore lets find the length of the rectangle now. ----------------- We know that :- $\underline{\boxed{\sf Area \: of \: a \: rectangle = Length \times Breadth}}$ Here, Area = 324 cm². Breadth = 12 cm. Let the length be l. ----------------- ${\underline{\underline{\mathfrak{Substituting \: these \: values\: in\: the\: formula,}}}}$ $\boxed{\rm324 = l \times 12}$ MULTIPLYING l by 12, $\boxed{\rm324 = 12l}$ Transposing 12 from RHS to LHS, changing it's sign, $\boxed{\rm\dfrac{324}{12} = l}$ Dividing 324 by 12, $\overline{\boxed{\rm27 \: cm = l.}}$ ----------------- Hence, the length of the rectangle is 27 cm.