ABC26GN4333 · Area

Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:

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

Answer (as printed):

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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