A Golden wire is in the shape of a rectangle. Its length is 40 cm and breadth are 22 cm. If the same wire is
re-bent in the shape of a square, what will be the measure of each side? Also find which shape encloses more
area? If cost for 1 cm length of wire is 8000 rupees, find total cost of wire.
Answers
Answer:
Step-by-step explanation:
First we need to find the length of golden wire.
The wire is in the shape of rectangle.
Length of rectangle = 40cm, Breadth = 22cm.
Perimeter of rectangle = 2 (L+B)
= 2 ( 40 + 22)
= 2 (62)
= 124
Therefore, the length of the wire is 124cm.
Now, the same wire has to be bent in square.
We have length of wire = Perimeter of square. We have to find the side.
Therefore, Perimeter of square = 4 x side
124 = 4 x side
124/4 = side
31 = side
Therefore, if the wire is bent in square, the side should be 31cm each.
Now, we have to compare which shape will take more area.
Therefore, For area of rectangle, we have length = 40cm, breadth = 22cm
Area of rectangle = L x B
= 40 x 22
= 880
Therefore, if the wire is bent in rectangle, the area will be 880sq.cm
For area of square, we have the side = 31cm
Area of square = (side)^2
= (31)^2
= 961
Therefore, if the wire is bent in square, the area will be 961sq.cm
Therefore, If the wire is bent in square, it will take up more area.
To find the cost of golden wire,
Cost of wire per cm = rs.8000
Total length of wire = 124cm
Therefore, cost of golden wire of length 124cm = 8000 x 124
= 992000
Therefore, the cost of golden wire will be rs. 9,92,000