the length of a room is 50% more than its breadth. the cost of carpeting the room at the rate of rupee 38. 50 metre square is rupee 924 and the cost of painting the wall at the rate of rupee of 5.50per metre square is rupee 1320. find the dimension of room.
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Answer:
In △ABC AB=AC
⇒∠B=∠C (Angles opposite to equal sides are equal)
Now using angle sum property
∠A+∠B+∠C=180
∘
⇒80
∘
+∠C+∠C=180
∘
⇒2∠C=180
∘
−80
∘
⇒∠C=
2
100
∘
=50
∘
now ∠C+∠x=180
∘
(Angles made on straight line (AC) are supplementary)
⇒50
∘
+∠x=180
∘
⇒∠x=180
∘
−50
∘
=130
∘
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