Question

the perimeter of a rectangular sheet is 120 cm. if the length is 25 cm, find it's breadth. Also find the Area​

Answer 1

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• The perimeter of a rectangular sheet is 120 cm. if the length is 25 cm, find it's breadth. Also find the area.

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Given,

• Perimeter of a rectangular sheet is 120cm
• Length is 25cm

To Find:-

• Breadth and area of the rectangular sheet.

Solution:-

First,we have to know that,

$\boxed{ \sf{ \blue{Perimeter \: of \: a \: rectangle = 2(l + b)}}}$

According to the question,

$\sf{2(25+ b) = 120} \\ \\ \rightarrow {\sf{25 + b = \frac{120}{2} }} \\ \\ \sf{ \rightarrow{25 + b = 60}} \\ \\ \sf{ \rightarrow{b = 60 - 25}} \\ \\ \sf{ \rightarrow{ \orange{b = 35}}}$

Hence, the breadth of the rectangular sheet is 35cm.

Again,

$\boxed{ \sf{ \blue{Area \: of \: a \: rectangle =( l \times b)sq.units}}}$

According to the question,

$\sf{Area \: of \: the \: rectanguar \: sheet = 25m \times 35m}$

$\sf{Area \: of \: the \: rectanguar \: sheet = (25 \times 35)sq.m.}$

$\sf{Area \: of \: the \: rectanguar \: sheet = \orange{ 875sq.m.}}$

Hence, the area of the rectangular sheet is 875sq.m.

$\sf{ \underline{ \green{Breadth \: of \: the \: rectangular \: sheet \: is \: 35m}}}$

$\sf{ \underline{ \green{And \: area \: of \: the \: rectangular \: sheet \: is \: 875sq.m.}}}$

◒ Hope this helps you!