A room is half as long again as its breadth and the area of its floor is 98 whole no. 37 bu 54 sq.m find its length and breadth.
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Answer:
Length is 7 m
Breadth is 14 m
Step-by-step explanation:
Let,
Length of room = x
Breadth of room = 2x
Area of room = Length × Breadth
Length × Breadth = 98 sq.m
⇒ x × 2x = 98
⇒ 2x² = 98
⇒ x² = 98 / 2
⇒ x² = 49
⇒ \sf{x \: = \: \sqrt{49}}x=
49
⇒ x = 7
.°. Length = 7 m
Now,
Find it's Breadth
Breadth = 2x
⇒ 2 (7)
⇒ 2 × 7
⇒ 14
Breadth = 14 m
Verification:
Area of room = Length × Breadth
⇒ 98 sq.m = 7 m × 14 m
⇒ 98 sq.m = 98 sq.m
LHS = RHS
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