Question

the length of a rectangular field is 30 metre and its diagonal is 34 metre find the breadth and its perimeter​

Answer 1

Answer:

breadth=18.87

perimeter = 97.74

Answer 2

$\huge\sf\underline\pink{Answer}$

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$\sf\underline{Given:-}$

$\sf{Length~of~a~rectangular~field~=~30m.}$

$\sf{Diagonal~of~a~rectangular~field ~=~34m.}$

⠀

$\bold{Consider~the~breadth~be~=~b~metres}$

$\sf\underline {Using ~the ~Pythagoras~ theorem,}$

$\sf{→~{AC}^{2}~=~{AB}^{2}~+~{BC}^{2}}$

$\sf\underline{Substituting~ the ~values,}$

$\sf{→~{34}^{2}~=~{30}^{2}~+~{b}^{2}}$

$\sf\underline{By ~further ~calculation,}$

$\sf{→~1156~=~900~+~{b}^{2}}$

$\sf\underline{So~ we~ get,}$

$\sf{→~{b}^{2}~=~1156~-~900~=~256}$

$\sf{→~b~=~{\sqrt{256}}~=~16m}$

⠀

$\sf\underline{We~ know ~that,}$

$\sf{Perimeter~=~2(l~+~b)}$

$\sf\underline{Substituting~ the ~values,}$

$\sf{→~2(30~+~16)}$

$\sf{→~2×~46}$

$\sf{→~92m.}$

⠀

$\sf\underline\blue{→~Thus,~ the~ breadth ~of ~the ~rectangular ~field~ = ~16m}$

$\sf\underline \orange{→~And, ~the~ perimeter~ of ~the ~rectangular~ field~ = ~92m}$

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