Question

A square and a rectangle are equal in area.The perimeter of recctangle is 26 cm.What is its area??

Answer 1

Area of square=Area of rectangle

Area of square=x^2

Let length of retangle be a cm and width be b cm

area ofrectangle =a*b

perimeter of rectangle =26 cm

2(a+b)=26
a+b=13

length =12 cm and width =1 cm
area of rectangle=12*1=12 cm^2

length =11 cm
width =2 cm
area of rectangle=11*2 =22 cm ^2

length =10 cm and width =3 cm
area of rectangle=10*3=30 cm^2

length =9 cm and width =4 cm
area of rectangle=9*4=36 cm^2

length =8 cm and width =5 cm
area of rectangle=40 cm^2

length =7 cm and width =6 cm
area of rectangle=42 cm^2

Area of sqauare can be found be:-

1²=1 cm²

2²=4 cm²

3²=9 cm²

4²=16 cm²

5²=25 cm²

6²=36 cm²

7²=49 cm²

there is one common area=36 cm^2

so, Area of square=area of rectangle=36 cm².