A rectangular carpet has an area of 120 sq. metres and a perimeter of 46 metres. The length of its diagonal is · ABC26GN4333
Subject: General Aptitude · Chapter: Area
A rectangular carpet has an area of 120 sq. metres and a perimeter of 46 metres. The length of its diagonal is
(a)15 m
(b)16 m
(c)17 m
(d)20 m
Answer
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Explanation
$2(l+b)=46$ or $l+b=23$. Also, $l b=120$. $$\begin{aligned} \therefore \text { Diagonal } & =\text { Diagonal }=\sqrt{l^{2}+b^{2}}=\sqrt{(l+b)^{2}-2 l b} \\ & =\sqrt{(23)^{2}-240}=\sqrt{289}=17 \mathrm{m} . \end{aligned}$$
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