A rectangle and a square have the same perimeter of 144 cm. the rectangle has a breadth 12 cm less than that of the square. find the area of rectangle.
Plz solve plz
Answers
The perimeter of the rectangle is 144 cm.
Let its length be l and breadth be b
Perimeter = 2 ( l + b )
==> 2 ( l + b ) = 144 cm
==> l + b = 72 cm.............................(1)
The perimeter of the square is 144 cm
Let the side be s.
==> Perimeter = 4 s
==> 4 s = 144 cm
==> s = 144 cm / 4
==> s = 36 cm
The breadth of the rectangle is 12 cm less than side s
Breadth = 36 cm - 12 cm
==> 24 cm
l + b =72 cm [See (1) ]
==> l + 24 cm = 72 cm
==> l = 72 cm - 24 cm
==> l = 48 cm
We know that area = l × b
==> 24 cm × 48 cm
==> 1152 cm²
The area of the rectangle is 1152 cm²
Hope it helps you:-)
_____________________________________________________________________
Perimeter of rectangle =2(l+b)
=2(l+b)
=l+b =144÷2
=l+b=72
breath = 36 -12
24
=l+24=72
l=72 -24=48
area of rectangle l×b
24×48
1152
Step-by-step explanation:
I hope you make me Brainliest