Question

square and a rectangle have the same perimeter. Calculate the area of the rectangle if the side of the square is 60 cm and the length of the rectangle is 80 cm​

Answer 1

Answer:

side of the square=60cm

perimeter of the square=4×60 cm=240cm

perimeter of the rectangle=240 cm

length of the rectangle=80cm

let width of the rectangle=x cm

so,

2(80+x)=240

=> 80+x=240/2=120

=> x=120-80=40

=> x=40

so, width =40 cm

area of the rectangle =length×width

=80cm×40 cm

=3200sq cm

Answer 2

Answer:

3200m²

Step-by-step explanation:

Perimeter of square formula = 4 × side of the square

Hence,

P (square) = 4 × 60 = 240 m

Perimeter of rectangle formula = 2 × (Length + Breadth)

Hence,

P (rectangle) = 2 (80 + Breadth) = 160 + 2 × Breadth

According to the given question,

➩160 + 2 × Breadth = 240

➩2 × Breadth = 240 – 160

➩Breadth = 80/2

➩Breadth of the rectangle = 40 m  

Now,

The area of rectangle = Length × Breadth = 80 × 40 = 3200m²