Math, asked by falakagarwal73, 16 days ago

Area of rectangle is 40cm and breath is 4cm what is the length?​

Answers

Answered by MystícPhoeníx
12

Answer:

  • 10cm is the required length of rectangle.

Step-by-step explanation:

According to the Question

It is given that,

  • Area of Rectangle = 40cm²
  • Breadth ,b = 4cm

we have to calculate the length of rectangle.

Let the length of rectangle be l

As we know ,

Area of Rectangle = Length × Breadth

substituting the value we get

→ 40 = l × 4

→ 40/4 = l

→ l = 40/4

→ l = 10 cm

  • Hence, the length of rectangle is 10cm.

Additional Information !!

\begin{gathered}\boxed{\begin {array}{cc}\\ \quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}

Answered by StarFighter
10

Answer:

Appropriate Question :-

  • The area of rectangle is 40 cm² and breadth is 4 cm. What is the length ?

\\

Given :-

  • The area of a rectangle is 40 cm² and breadth is 4 cm.

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To Find :-

  • What is the length.

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Formula Used :-

\clubsuit Area Of Rectangle Formula :

\bigstar \: \: \sf\boxed{\bold{\pink{Area_{(Rectangle)} =\: L \times B}}}\: \: \: \bigstar\\

where,

  • L = Length
  • B = Breadth

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Solution :-

Let,

\mapsto \bf Length_{[Rectangle]} =\: x\: cm\\

Given :

  • Area = 40 cm²
  • Breadth = 4 cm

According to the question by using the formula we get,

\implies \sf\bold{\blue{Area_{(Rectangle)} =\: L \times B}}\\

\implies \bf Area_{(Rectangle)} =\: Length \times Breadth\\

\implies \sf 40 =\: x \times 4

\implies \sf 40 =\: 4x

\implies \sf \dfrac{\cancel{40}}{\cancel{4}} =\: x

\implies \sf \dfrac{10}{1} =\: x

\implies \sf 10 =\: x

\implies \sf\bold{\green{x =\: 10}}

Hence, the required length of the rectangle is :

\dashrightarrow \sf Length_{[Rectangle]} =\: x\: cm\\

\dashrightarrow \sf\bold{\red{Length_{[Rectangle]} =\: 10\: cm}}\\

\sf\bold{\purple{\underline{\therefore\: The\: length\: of\: the\: rectangle\: is\: 10\: cm\: .}}}\\

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