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.

NEED VERIFIED ANSWER WITH PROPER EXPLANATION

Answer 1

Answer:

$\huge \tt{Answer}$

➠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

________________________

• Hopes it helps ; )

Answer 2

$\huge \tt{Answer}$

➠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 = l × b

= 80 × 40

= 3200m²

________________________