Question

A 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

$\huge\bf\boxed{\boxed{\underline{\red{Question!!}}}}$

A 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.

$\huge\bf\boxed{\boxed{\underline{\red{Answer!!}}}}$

$\huge\bold{Given}$

Side of the square = 60cm

length of the rectangle = 80cm

The square and rectangle are having same perimeter.

$\huge\bold{To \:find}$

perimeter of square = ?¿

perimeter of rectangle = ¿¿

Area of rectangle = ?¿

→ Perimeter of square =${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{4 × side}}}}}}}}}$

→ $\mathrm\pink{4 × 60}$

→ $\mathrm\pink{240cm}$

→ Perimeter of rectangular = ${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{2 ( length × breadth)}}}}}}}}}$

→ $\mathrm\orange{240 = 2 ( 80 + b )}$

→ $\mathrm\orange{\frac{240}{2} = ( 80 + b )}$

→ $\mathrm\orange{\cancel\frac{240}{2} = (80 + b )}$

→ $\mathrm\orange{120 = 80 + b}$

→ $\mathrm\orange{120 - 80 = b}$

→ $\mathrm\orange{40cm = b}$

➪ Now :

☞︎︎︎ Area Of Rectangle= ${\green{\overline{\green{\underline{\blue{\boxed{\orange{\mathtt{( length × breadth )}}}}}}}}}$

☞︎︎︎ $\mathrm\purple{80 × 40}$

☞︎︎︎ $\mathrm\purple{3200cm²}$

$\huge\bf\boxed{\boxed{\underline{\blue{Ans = 3200cm²}}}}$

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