Question

The area of a rectangular field is 650 sq. m. and its width is 25m. Find. (a). The length of the rectangular field. (b). The perimeter of the field.​

Answer 1

$\large{ \frak{Given}} \begin{cases} \sf{Area \: of \: the \: rectangular \: field = 650 m^{2} } \\ \sf{Width \: of \: the \: field = 25 m } \end{cases}$

$\large{ \frak{To \: Find }} \begin{cases} \sf{lenght \: of \: the \: rectangular \: field } \\ \sf{Perimeter \: of \: the \: rectangular \: field } \end{cases}$

Solution :

$\textbf{We know that , }$

$\text{Area of a rectangular field = length } \times \text{ width }\\ \\ \longrightarrow \: 650 = \text{length } \times \text{25} \\ \\ \longrightarrow \: \cancel{\dfrac{650}{25} } = \text{ length}\\ \\ \longrightarrow \: \underline{ \fbox{\textbf{length = 26 }}}$

• Length of the rectangular field is 26 m .

$\text{Perimeter of a rectangular field = 2(lenght + width)} \\ \\ \longrightarrow \: \text{Perimeter = 2(26 + 25)} \\ \\ \longrightarrow \: \text{Perimeter = 2} \times 51 \\ \\ \longrightarrow \: \underline{ \fbox{\textbf{Perimeter = 102 }}}$

• Perimeter of the rectangular field is 102 m .

Answer 2

$\textbf{\underline{\green{Given that : \: \: }}}$

• Area of a rectangular field = 650 sq. m
• Width of the rectangular field is 25 m

$\textbf{\underline{\green{We have to Find : \: \: }}}$

• Length of the rectangular field
• Perimeter of the rectangular field

$\textbf{\underline{\green{Solution : \: \: }}}$

From the formula...

$\boxed{\sf{Area \: of \: a \: rectangle = lenght \times width} } \\ \\ \implies \: \sf{650 = length \times 25} \\ \\ \implies \: \sf{length = \frac{650}{25} } \\ \\ \implies \: \blue{\sf{length = 26 \:m}}$

$\textbf{\underline{\green{Now we have : \: \: }}}$

• Length = 26 m
• Width = 25 m
• Area = 650 ${m}^{2}$

For Perimeter...

$\fbox{ \textsf{Perimeter of a rectangle = 2(length + width)}} \\ \\ \implies \: \sf{Perimeter = 2(26\:m + 25\:m)} \\ \\ \implies \: \sf{Perimeter = 2 \times 51\:m} \\ \\ \implies \: \blue{ \sf{Perimeter = 102\:m}}$

Answer :

• Length of the rectangular field = 26 m .
• Perimeter of the rectangular field = 102 m .