URGENT
A rectangle is measured by 12 cm long and (2x+2) cm wide. Its area is not more than 96 cm2.
The correct statement above is
A. 0 ≤ x ≤ 3
B. −1 < x ≤3
C.−1 ≤ x ≤ 3
D. 0 < x ≤ 3
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ANSWER
Perimeter of rectangle =2(l+b)
=2(8+5)cm=26cm
New length =(8+x)cm
New Breadth =(5+x)cm
Given 2(8+x+5+x)=26+2x
⇒2(13+2x)=52⇒13+2x=
2
52
=26
⇒2x=13⇒x=
2
13
=6.5cm
Therefore New Length =(8+6.5)cm =14.5cm
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