Question

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

Answer 1

Answer:

15 It is correct hope you dont get any wrong bye

Answer 2

Answer:

• The breadth and the area of thee sheet are 15cm and 525cm² respectively

Step-by-step explanation:

Given:-

• The perimeter of a rectangular sheet is 100 m
• The length of the sheet is 35 m

To Find:-

• The breadth of the rectangular sheet
• The area of the rectangular sheet

Assumptions:-

• Let the breadth of the rectangle be x

Formulas used:-

• The perimeter of a rectangle is 2( Length + Breadth )
• The area of a rectangle is Length times Breadth

Diagram:-

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 35 cm}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 15 cm}\end{picture}$

Solution:-

✰ Now let's find the breadth of the rectangle,

$\rightarrow \qquad \tt Perimeter = 2( L + B )$

$\rightarrow \qquad \tt 100 = 2( 35 + x )$

$\rightarrow \qquad \tt 100 = 70 + 2x$

$\rightarrow \qquad \tt 2x = 100 - 70$

$\rightarrow \qquad \tt 2x = 30$

$\rightarrow \qquad \tt x =\cancel\dfrac{30}{2}$

$\rightarrow \qquad {\red{\boxed{\frak{ x = 15 }}}\purple\bigstar}$

∴ Hence, the breadth of the sheet is 15cm

✰ Now let's find the area of thee sheet,

$\rightarrow \qquad \tt Area = Length \times Breadth$

$\rightarrow \qquad \tt Area = 35 \times 15$

$\rightarrow \qquad {\red{\boxed{\frak{ Area = 525 }}}\purple\bigstar}$

∴ Hence, the area of the sheet is 525cm²

Therefore:-

• The breadth and the area of thee sheet are 15cm and 525cm² respectively

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