Question

A wire is bent into a square of side 10cm. If the wire after straightening is bent into a rectangle having length 12cm, Find the breadth of rectangle​

Answer 1

Answer:

Let a be the side of a square, l be the length and b be the breadth of rectangle.

As length of wire is constant, perimeter of both shapes would be same,

⇒4a=2(l+b)

⇒40=2(12+b)

⇒b=18 cm

Area of square=a

2

=10

2

=100cm

2

Area of rectangle=lb=12×18=216cm

2

⇒ Area of rectangle is greater by 116cm

2

.

Answer 2

Answer:
breadth =8cm

Step-by-step explanation:

periMETER OF SQUARE =PERIMETER of rectangle
4(10)=2(12+w)
40=24+2w
2w=40-24
2w=16
w=16/2
w=8cm