The wire is in the shape of a rectangle. It's length is 32 cm and breadth is 18 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 are
Answers
Step-by-step explanation:
Square has more area than the area of rectangle
Square has more area than the area of rectangleThe length of each side of the square=25cm
Given:-
The wire is in the shape of a rectangle. It's
length is 32 cm and breadth is 18 cm. If the same wire is rebent in the shape, of a square, what will be the measure of each side?
To find:-
Find which shape encloses more area.
Using Concept:-
If the planar figure is converted into another planar figure then the perimeter is same
Using formula:-
Perimeter of a rectangle whose length and breadth are "l" and"b" units is 2(l+b) units
Perimeter of a square whose side is "a" units is 4a units.
Area of a rectangle=lb square units
Area of a square=a² sq.units
Solution:-
The given wire is in the shape of rectangle
The length of the rectangle(l)=32 cm
The breadth of the rectangle(b)=18cm
Perimeter of the rectangleP)=2(l+b) units
=>P=2(32+18)
=>P=2(50)
=>P=100 cm
If it is converted into square then the total length of the wire does not change.
Perimeter of the rectangle=Perimeter of the square
=>4a=100cm
=>a=100/4cm
=>a=25cm
Side of the square=25 cm
The area of the rectangle=l×b
=>32×18
=>Area=576 sq.cm-----(1)
Area of the square =a²
=>25²
=>25×25
=>625sq.cm-----(2)
625sq.cm>576sq.cm
Square has more area than the area of rectangle
Answer:-
Square has more area than the area of rectangle.
Square has more area than the area of rectangle.The length of each side of the square=25cm