Question

Area of a Square plot is 1089 sq. meters. Find the length of its one side.​

Answer 1

${\large{\blue{✏{\red{\underline{\bf{Given :}}}}}}}$

• Area of square plot = 1089 cm²

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

${\large{\blue{✏{\red{\bf{\underline{To Find :}}}}}}}$

• Side = ?

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

${\large{\blue{✏{\red{\bf{\underline{Solution :}}}}}}}$

❒We know that :

${\red{\maltese \: \: \: \: \:{\orange{\underbrace{\underline{\overbrace{\overline{\green{\mathfrak{Area = Side²}}}}}}}}}}$

❒Solving Starts :

${\mapsto{\bf{Side² = Area}}}$

${\twoheadrightarrow{\sf{Side² = 1089}}}$

${\twoheadrightarrow{\sf{Side = \sqrt{1089} }}}$

${\green{\dashrightarrow{\red{\boxed{\bf{Area = 33 \: m}}}}}}$

❒Hence :

${\large{\purple{\underline{\red{\underline{\pink{\pmb{\mathfrak{Side = 33 m}}}}}}}}}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

⇝More Info :

Some formulas for Area :

$\begin{gathered}\red{\small\qquad \boxed{\boxed{\begin{array}{cc} \ ➳ \: \: \bf Rectangle = Length \times Breadth \\ \\ \ ➳ \: \: \bf \: Square = Side² \\ \\ \ ➳ \: \: \bf \:Triangle = \sqrt{s(s - a)(s - b)(s - c)} \end{array}}}}\end{gathered}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Answer 2

Given - Area of square = 1089 m²

Find - Length of one side.

Solution - Square is the shape characterized by four equal sides. Hence, all the sides of square are equal in value. Therefore, area of square is square of any one side. Representing this as mathematical formula - Area of square = side².

Now, keeping the value in formula to get length of one side.

1089 = side²

side = ✓1089

side = 33

Hence, length of one side is 33m.