22. If length of a rectangle is 5 less than 3 times it's breadth and perimeter of the rectangle is 22m, then
area of the rectangle is
[ ]
a) 28m?
b) 14 m²
c) 11m
d) 21 m²
umber is
Answers
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Let l and b be the length and breadth of rectangle.
According to the question-
l=3b−5.....(1)
Perimeter of rectangle =22m(Given)
As we know that the perimeter of rectangle is given as-
P=2(l+b)
Therefore,
2(l+b)=22
l+b=11
(3b−5)+b=11(from (1))
4b=11+5
⇒b=416=4m
Substituting the value of b in eqn(1), we have
l=3×4−5=7m
Therefore,
Area of rectangle =l×b=7×4=28m2
Hence the area of rectangle is 28m2.
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