Question

Length and breadth of a rectangle are 24
cm and 18 cm. Find the length of its
diagonal.
1 18 cm
2 24 cm
3 30 cm
4 15 cm
7:55 pm​

Answer 1

Correct Question-:

• Length and breadth of a rectangle are 24 cm and 18 cm. Find the length of its diagonal.

AnswEr -:

• $\boxed{\purple{\sf{\star{Diagonal\:of\:Rectangle\:is\:30cm}}}}$
• $\boxed{\purple{\sf{\star{The\:option \:"3"\:is\:correct}}}}$

Explanation -:

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,2.74){\framebox(0.25,0.25)}\put(4.74,0.01){\framebox(0.25,0.25)}\put(2,-0.7){\sf\large 24 cm}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\qbezier(0,0)(0,0)(5,3)\put(1.65,1.8){\sf\large 30 cm}\end{picture}$

Given ,

• Length of Rectangle is 24 cm .
• Breadth of Rectangle is 18 cm .

To Find ,

• The length of Diagonal.

Solution-:

☆ By using Pythagoras theorem we can find Diagonal of Rectangle.

• $\boxed{\blue{\sf{\implies{(Diagonal)² \:=(length)²+(Breadth)²}}}}$

Here ,

• Length of Rectangle is 24 cm .
• Breadth of Rectangle is 18 cm .
• Diagonal of Rectangle is ??

Now ,

• $\pink{\sf{\implies { (18)²+(24)² = \: (Diagonal)²}}}$
• $\pink{\sf{\implies { 324 + 576 = \: (Diagonal)²}}}$
• $\pink{\sf{\implies { 900=\:(Diagonal)²}}}$
• $\pink{\sf{\implies { Diagonal\:=\sqrt{900} }}}$
• $\pink{\sf{\implies { Diagonal\:=\: 30 cm }}}$

Therefore,

• $\boxed{\purple{\sf{\implies{Diagonal\:=\:30cm}}}}$

Hence ,

• $\boxed{\purple{\sf{\star{Diagonal\:of\:Rectangle\:is\:30cm}}}}$
• $\boxed{\purple{\sf{\star{The\:option \:"3"\:is\:correct}}}}$

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♤| More to know |♤

• Pythagoras theorem states that in the Right angled triangle the square of two side is always equal to the the square of longest side ( Hypotenuse side ) .

• $\boxed{\blue{\sf{\implies{(Hypotenuse)² \:=(Side_{1})²+(Side_{2})²}}}}$

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