Question

a wire of length 1m 20cm is cut into two equal pieces . one piece is bent to form a square and other one bent to form a rectangle of length 22cm . compare the areas of rectangle and square formed.​

Answer 1

Answer:

The area of rectangle is smaller than area of square.

Step-by-step explanation:

Step 1: The region contained inside the rectangle's perimeter is referred to as the area of the rectangle. In other terms, the area of a rectangle is the whole area that a rectangle encloses. Depending on the provided dimensions, this may be determined using the area of rectangle formula and a number of other techniques.

Step 2: The quantity of unit squares that may fit within a rectangle called its area. The quantity of space a flat surface of a specific form occupies is known as its area. Any shape's area is determined by how many unit squares can fit inside of it, and it is expressed as a 'number of' square units (square centimeters, square inches, square feet, etc.). The flat surfaces of laptop monitors, blackboards, painting canvases, etc. are a few instances of rectangular forms.

Step 3: Length of wire = 1 m 20 cm = 100 cm + 20 cm = 120 cm

Wire is divided into two pieces

Length of 1 piece $=\frac{120}{2}=60 \mathrm{~cm}$

One piece is bent to form square

Perimeter of square $=4 \times$ Side

So, 4 limes Side =60

Side =15

Other one is bent to form rectangle of length $22 \mathrm{~cm}$.

Perimeter of rectangle =2(1+b)=2(22+b)

So,2 2(22+b)=60

22+b=30

b=8

Area of rectangle = Length $\times$ Breadth $=22 \times 8=176 s q . \mathrm{cm}$.

Area of square = Side $^2=15^2=225 s q . \mathrm{cm}$.

Hence The area of rectangle is smaller than area of square

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