Question

The perimeter of a rectangular field is 240 metres. If its length is 90 m find:
i) Its Breadth
ii) Its area

answer fastt..please help..​

Answer 1

Step-by-step explanation:

perimeter of rectangle = 2(L + B)

240 = 2(90 + B)

120 = 90 + B

B = 120 - 90

B = 30m

Area = L*B

= 90 * 30

= 2700 m^2

Answer 2

Given:-

• The perimeter of a rectangular field is 240m
• The Length of the rectangular field is 90m

To Find:-

• The breadth of the rectangle
• The area of the rectangle

Solution:-

According to the question, we have the perimeter of the rectangle and the length of the rectangle and we have to find its breadth

❍Let the breadth of the rectangle be X

As we know that,

$\: \: \: \: \star{ \blue{ \boxed{ \tt{perimeter \: of \: a \: rectangle = 2(l + b)}}}}$

Where,

L stands for ${\bf{\pink{Length}}}$

B stands for ${\bf{\pink{Breadth}}}$

After Substitution we get,

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { : \implies} \sf \: \: perimeter = 2(l + b) \\ \\ \\ \: \: \: \: \: \: \: \: \: \: \: { : \implies} \sf240 = 2(90 + x) \\ \\ \\\: \: \: \ \: \: \: \: \: \: \: { : \implies} \sf240 = 180 + 2x \\ \\ \\ \: \: \: \: \: \: \: \: \: \: \: { : \implies} \sf2x = 240 - 180 \\ \\ \\ { : \implies} \sf2x = 60 \: \: \: \\ \\ \\ { : \implies} \sf \: x = \cancel\frac{60}{2} \\ \\ \\ \: \: { : \implies} { \boxed{\sf{ \: x = 30}}}$

Henceforth, The breadth of the rectangle is 30m

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Now, let's find the area of the rectangle

$\underline{ \frak{As \: we \: know \: that}}$

$\: \: \: \: \: \: \star{ \pink{ { \boxed{ \tt{area _{(rectangle) } = lenght \times breadth}}}}}$

Substituting the values we get,

${ : \implies} \sf \: area \: = l \times b \: \: \: \: \\ \\ \\ { : \implies} \sf \: area = 90 \times 30 \\ \\ \\ { : \implies} \sf \: area = 2700 {m}^{2} \: \:$

Hence the area of the rectangle is 2700m²

Diagram:

[tex]\begin{gathered} \pink{\tt90m} \: \: \: \: \: \: \: \: \: \: \: \\ \pink{\boxed{\begin{array}{}\bf {