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A rectangular carpet has an area of 120 m^2 and a perimeter of 46 metre. The length of its diagonal is :
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Explanation:
Let ABCD is a rectangular carpet having length l metre and breadth b metre and BD is a diagonal
⇒ As we know
→ Area
⇒l×b=120……..(i)
→ Perimeter
⇒2(l+b)=46
Using formula
⇒(l+b)^2=l^2+b^2+2lb
⇒(23)^2=l^2+b^2+2×120
⇒529=l^2+b^2+240
⇒l^2+b^2=529−240
⇒l^2+b^2=289
⇒√l^2+b^2=√289
diagonal = 17
diagonal of carpet is 17 metres