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Question

The area and the perimeter of the above rectangle are __ sq. units and __ units respectively.

A
120,44
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B
120,88
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C
44,120
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D
88,120
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Solution

The correct option is A 120,44
Opposite sides of rectangle are equal.
Hence, 3(y+1)=2(y+3).
i.e.,3y+3=2y+6
y=3
Similarly, 2(x+3)=x+8
i.e., 2x+6=x+8
x=2
Hence, the sides of the rectangle are 3(y+1)=3(3+1)=12 and 2(x+3)=2(2+3)=10.
Area of the rectangle =12 ×10=120 sq. units
Perimeter=2× (12+10)
=2 × 22 = 44 units

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