the length of a rectangular hall is 4/3 of its width. The area of the rectangular hall is 432 ²
What is the difference between length and width
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Answer:
Let length=l=4x, Breadth=b=3x and height=h=2x
Total surface area of a cuboid=2(lb+bh+lh)
⇒2548=2(4x×3x+3x×2x+4x×2x)
⇒1274=12x
2
+6x
2
+8x
2
⇒26x
2
=1274
⇒x
2
=
26
1274
=49
∴x=7cms
∴l=4x=4×7=28cm
b=3x=3×7=21cm and h=2x=2×7=14cm
∴length=28cm, Breadth=21cm and height=14cm
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