Question

The length of a rectangle is 1 cm more than its width and its perimeter is 14 cm. Then the area of the
rectangle is

a) 16 cm
b) 12 cm
c) 48.75 cm
d) 10 cm?
​

Answer 1

Answer:

b.12 cm

EXPLANATION

Let the width of the rectangle is x cm

Then length of the rectangle =x+1 cm (given length of rectangle is 1 cm more then width

So perimeter of rectangle =2(length+width)=2(x+1+x)=2(2x+1)

But perimeter = 14 cm (Given)

∴2(2x+1)=14⇒2x+1=7⇒2x=7−1⇒x=3

Then wigth =3 cm and length=3+1=4 cm

∴areaofrectangle=length×wigth=4×3=12cm

2

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