Question

The perimeter of rectangular sheet of 125cm if the breadth is 21.4 cm find the length also find the area

Answer 1

Question :The perimeter of rectangular sheet of paper is 125 cm. If the breadth is 21.4 cm, find the length .Also find the area.

Solution :

$\underline{\bold {Given:-}}$

• The perimeter of rectangular sheet of paper = 125 cm.
• Breadth of rectangular sheet of paper = 21.4 cm

$\underline {\bold {To\: Find:-}}$

• Length of rectangular sheet of paper .
• Area of rectangular sheet of paper .

$\underline {\bold {Now,\:Head \:\:to \:the \:question:}}$

$\fbox {\blue{Perimeter =2 (l+b)}}$

$= > Perimeter = 2(l +b) \\ = > Perimeter = 2(l + 21.4)\\ = > 125 = 2l + 42.8 \\ = > 125 - 42.8 = 2l \\ = > 82.2 = 2l \\ = > \frac{82.2}{2} = l\\=>41.1=l$

$\fbox {\red{l=41.1\:cm}}$

$\underline {\bold{We \:know\: that :}}$

• Length of rectangular sheet of paper = 41.1 cm
• Breadth of rectangular sheet of paper =21.4 cm

$\boxed {\pink {Area= length \times breadth}}$

$=>Area =length\times breadth$

$=>Area =41.1\:cm\times 21.4\:cm$

$\boxed {\green{Area =879.54\:cm^2}}$

$\bold {Hence, \:Area = 879.54 cm^2 \:and\: Length = 41.1\:cm}$

#answerwithquality

#BAL

Answer 2

$\textbf{\huge{\underline{Given:}}}$

● Perimeter of sheet = 125 cm

● Breadth = 21.4 cm

$\textbf{\huge{\underline{To\:Find:}}}$

● Length and the area of sheet

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

Let the length be denoted by 'l'

$\star \rm \: Perimeter = 2(length + breadth)$

$\hookrightarrow \sf \: 125 = 2(l + 21.4)$

$\hookrightarrow \sf \: 125 = 2l + 42.8$

$\hookrightarrow \sf \: - 2l = 42.8 - 125$

$\hookrightarrow \sf \: - 2l = - \: 82.2$

$\hookrightarrow \sf \: l = \dfrac{ - 82.2}{ - 2}$

$\hookrightarrow \sf \: 41.1 \: cm (length)$

$\textbf{\underline{\underline{To\:Find\:Area:}}}$

Here,

Length = 41.1 cm

Breadth = 21.4 cm

$\star \rm \: Area = length \times breadth$

$\hookrightarrow \sf \:Area = 41.1 \: cm \times 21.4 \: cm$

$\hookrightarrow \sf \: Area = 879.54 {cm}^{2}$

Hence,

$\star \rm \: Length = 41.1\: cm$

$\star \rm \: Area = 879.54 \: {cm}^{2}$