Question

The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth
Also find the area.​

Answer 1

Answer:

Area=525 cm²,breadth=15cm

Step-by-step explanation:

Perimeter of the rectangular sheet=100

Perimeter of rectangle=2(l+b)

So creating an equation,

2(l+b)=100

2(35+b)=100

35+b=100/2

35+b=50

b=50-35

b=15cm

Area=length x breadth

35 x 15

525 cm²

Answer 2

$\bold{Given}\begin{cases} \sf \: The \: perimeter \: of \: a \: rectangular \: sheet \: is \: \bold{100 \: cm}. \\ \\ \sf \: The \: length \: of \: the \: rectangle \: is \: \bold{35 \: cm}. \end{cases} \:$

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We've to find : Breadth and area of the rectangular sheet.

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⠀⠀⠀⠀⠀____________________

Firstly, we'll find the perimeter of the sheet. As it is in the form of a rectangle,

$\:$

$\star \: \underline{\boxed{\sf\pink{Perimeter_{rectangle} = 2(l + b)}}}$

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❍ Where, l denotes length and b denotes breadth of the rectangular sheet.

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$\sf:\implies \: Perimeter_{(rectangle)} = 2(l + b) \\ \\ \\ \sf:\implies \: 100 = 2(35 + b) \\ \\ \\ \sf:\implies \: \cancel \frac{100}{2} = 35 + b \\ \\ \\ \sf:\implies \: 50 = 35 + b \\ \\ \\ \sf:\implies \: b = 50 - 35 \\ \\ \\ \sf:\implies \:\underline{\boxed{\mathfrak\purple{b = 15cm}}} \: \bigstar \:$

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Now, we've got the breadth of the rectangular sheet. We'll put the value of length and breadth into the area of the rectangle formula.

$\: \:$

$\star \: \underline{\boxed{\sf\pink{Area_{(rectangle)} = l \times b}}} \: \:$

$\: \:$

$\sf \implies \: Area_{(rectangle)} = l \times b \\ \\ \\ \sf \implies \:Area_{(rectangle)} = 35 \times 15 \\ \\ \\ \sf \implies \: \underline{\boxed{\mathfrak\purple{Area_{(rectangle)} = 525 {cm}^{2}}}} \: \bigstar \\ \\ \\ \\ \sf \therefore{ \underline{Hence, \: the \: area \: of \: the \: rectangular \: sheet \: is \: \bold{525 \: {cm}^{2}}. }}$