Question

the perimeter of a rectangle is 230cm.If the length of the rectangle is 70cm,find its breadth and area.​

Answer 1

Answer:

let the breath be x

230=2(70+x)

230=70+x

2

115-70=x

x=45

breath=45cm

area=l×b

=70×45

=3150cm²

Answer 2

$\large{\underline{\underline{\mathfrak{\sf{Answer-}}}}}$

$\large{\boxed{\pink{\sf{Breadth\:of\:rectangle=45\:cm}}}}$

$\large{\boxed{\pink{\sf{Area\:of\:rectangle=3150\:cm^2}}}}$

$\large{\underline{\underline{\mathfrak{\sf{Figure-}}}}}$

$\setlength{\unitlength}{2cm}\begin{picture}(16,4)\thicklines\put(8,3){\circle*{0.1}}\put(7.8,3){\large{D}}\put(7.2,2){\mathsf{\large{70cm}}}\put(8,1){\circle*{0.1}}\put(7.8,1){\large{A}}\put(9.3,0.8){\mathsf{\large{?cm}}}\put(11.1,1){\large{B}}\put(8,1){\line(1,0){3}}\put(11,1,){\circle*{0.1}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11,3){\circle*{0.1}}\put(11.1,3){\large{C}}\end{picture}$

$\large{\underline{\underline{\mathfrak{\sf{Explanation-}}}}}$

$\begin{lgathered}\bold{Given} \begin{cases}\sf{Perimeter\:of\:rectangle=230\:cm} \\ \sf{Length\:of\:rectangle=70\:cm}\end{cases}\end{lgathered}$

To find :

• Breadth of rectangle
• area of rectangle

Solution :

We know that,

perimeter of rectangle = 2(L+B)

★putting the given values,

$\implies$ 230 = 2(70+B)

$\implies$ 70 + B = $\cancel{\dfrac{230}{2}}$

$\implies$ 70 + B = 115

$\implies$ B = 115 - 70

$\implies$ B = 45 cm

$\large{\boxed{\pink{\sf{\therefore\:Breadth\:of\:rectangle=45\:cm}}}}$

$\rule{200}2$

Now, area of rectangle = L × B

$\implies$ 70 × 45

$\implies$ 3150 cm²

$\large{\boxed{\pink{\sf{\therefore\:Area\:of\:rectangle=3150\:cm^2}}}}$

$\rule{200}2$

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