A) 17 m
B) 31 m
C) 12 m
D) 24 m
Correct Answer: D
Solution :
The diagonal d = 25 \[m\] and area A = 168\[{{m}^{2}}\] Let \[I\,\,\]be the length and \[b\,\] be the width of the rectangle. Therefore, \[{{I}^{2}}+{{b}^{2}}={{d}^{2}}\] and \[Ib=A\] We can therefore, write \[{{(I+b)}^{2}}={{d}^{2}}+2A\] and\[{{(I-b)}^{2}}={{d}^{2}}-2A\] Substituting and solving, we get \[(I+b)=31\]and \[(I-b)=17\]. Hence, \[I=24\,m\]and\[b=7\,m\]You need to login to perform this action.
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