Question

the length of a rectangular is 3 m and its diagonal is 5 M find its breadth

Answer 1

let length =l
breadth =b
diagonal =d
${d}^{2} = {b}^{2} + {l}^{2} \\ 5 {}^{2} = {b}^{2} + {3}^{2} \\ b {}^{2} = 16 \\ b = 4$
hence breadth =4 cm
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Answer 2

Length of rectangle = 3 m
Diagonal of rectangle = 5 m

$\sqrt{ {l}^{2} + {b}^{2} } = 5 \\ {l}^{2} + {b}^{2} = 25 \\ 9 + {b}^{2} = 25 \\ {b}^{2} = 16 \\ b = 4$


Width of rectangle = 4 cm