Question

5. Find the length of a diagonal of a rectangle with dimensions 20 m by 15 m.​

Answer 1

Answer:

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Answer 2

$\bigstar$ Given:-

• Length = 20 m
• Breadth = 15 m

$\bigstar$ To find:-

• The length of Diagonal of a rectangle

$\bigstar$ Formula Used:-

• $\Large\boxed{\underline{\tt{(\:Diagonal\:)^{2}\:=\:(\:Length\:)^{2}\:+\:(\:Breadth\:)^{2}}}}$

$\bigstar$ Calculating:-

To find out the length of the diagonal we will use the formula and substitute the given values.

$\qquad\tt{:\implies\:(\:Diagonal\:)^{2}\:=\:(\:Length\:)^{2}\:+\:(\:Breadth\:)^{2}}$

$\qquad\tt{:\implies\:(\:Diagonal\:)^{2}\:=\:(\:20\:)^{2}\:+\:(\:15\:)^{2}}$

$\qquad\tt{:\implies\:(\:Diagonal\:)^{2}\:=\:400\:+\:225}$

$\qquad\tt{:\implies\:(\:Diagonal\:)^{2}\:=\:625}$

$\qquad\tt{:\implies\:\:Diagonal\:\:=\:\sqrt{625}}$

$\qquad\tt{:\implies\:\:Diagonal\:=\:25}$

.°. The length of the diagonal is 25 m.

$\bigstar$ Answer:-

• The length of the diagonal is 25 m.