16 cm
The cross-section of a piece of metal 2 m in length is shown in
the adjoining figure.
Calculate : (i) the area of its cross-section;
ce of metal 2 m in
T
12 cm
--8cm
-13 cm
(ii) the volume of piece of metal;
(iii) the weight of piece of metal to the nearest kg,
if 1 cm3 of the metal weighs 6.5 g.
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Answer:Let the breadth of the given rectangle be x cm.
Then, length =(x+8) cm
Now area =240cm
2
⇒length×breadth=240⇒(x+8)x=240
⇒x
2
+8x−240=0⇒x
2
+20x−12x−240=0⇒(x+20)(x−12)=0
⇒x=12orx=−20
But x cannot be negative, So, x=12
Hence, length =x+8=12+8=20cm and breadth =12cm
Step-by-step explanation:
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