A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm.If the same wire is rebent in the shape of a square, what will be the measure of each side.Also find which shape encloses more area?
Answers
Answer :
- Area of rectangle = 88cm²
- Area of square = 961cm²
- Area of square is greater then area of rectangle
Given :
- A wire is in the shape of a rectangle
- length is 40cm
- breadth is 22cm
To find :
- which shape encloses more area
Solution:
so now we have to convert the rectangular wire to square then length of the wire will be the same
- Perimeter of rectangle = Perimeter of square
Rectangle:
- length of rectangle = 40cm
- breadth of rectangle = 22cm
As we know that ,
- Perimeter of rectangle = 2(l+b)
● 2(40+22)
● 124cm
Square:
- let side a
● perimeter of square = 4a
so Now ,
- Perimeter of rectangle = Perimeter of square
● 124 = 4a
● 124/4 = a
● 31 = a
● a = 31cm
side of square is 31cm
Now we need to find the area of bigger :
Area of Rectangle:
- Area of rectangle = l × b
● 40× 22
● 88cm²
Area of square:
- Area of square = a × a
● 31 × 31
● 961cm²
- Area of rectangle = 88cm²
- Area of square = 961cm²
Area of square is greater then area of rectangle
Answer:
Answer :
Area of rectangle = 88cm²
Area of square = 961cm²
Area of square is greater then area of rectangle
Given :
A wire is in the shape of a rectangle
length is 40cm
breadth is 22cm
To find :
which shape encloses more area
Solution:
so now we have to convert the rectangular wire to square then length of the wire will be the same
Perimeter of rectangle = Perimeter of square
Rectangle:
length of rectangle = 40cm
breadth of rectangle = 22cm
As we know that ,
Perimeter of rectangle = 2(l+b)
● 2(40+22)
● 124cm
Square:
let side a
● perimeter of square = 4a
so Now ,
Perimeter of rectangle = Perimeter of square
● 124 = 4a
● 124/4 = a
● 31 = a
● a = 31cm
side of square is 31cm
Now we need to find the area of bigger :
Area of Rectangle:
Area of rectangle = l × b
● 40× 22
● 88cm²
Area of square:
Area of square = a × a
● 31 × 31
● 961cm²
Area of rectangle = 88cm²
Area of square = 961cm²
Area of square is greater then area of rectangle