Question

Area of rectangle and area of square are equal. Perimeter of square is 64 cm. Breadth of rectangle is 4 cm. What is the perimter of rectangle?

Answer 1

Answer:

• The perimeter of the rectangle is 136 cm.

Step-by-step explanation:

Given :-

• Area of rectangle and square are equal.
• Perimeter of the square = 64 cm.
• Breadth of the rectangle = 4 cm.

To Find :-

• Perimeter of the rectangle.

Basic Terms :-

• Area : The area can be defined as the space occupied by a flat shape or the surface of an object.
• Perimeter : Perimeter is the distance around the outside of a shape.

Formula Used :-

➊ To find the side of square we know that,

✦ Perimeter of square = 4 × side ✦

where,

• Perimeter = 64 cm.
• side = ?

➋ To find the area of square we know that,

✪ Area of square = (side)² ✪

where,

• Area = ?
• side = ?

➌ To find the length of rectangle we know that,

❖ Area of rectangle = l × b ❖

where,

• l = length.
• b = breadth.

➍ To find the perimeter of rectangle we know that,

⦾ Perimeter of rectangle = 2(l + b) ⦾

where,

• l = length.
• b = breadth.

Solution :-

➊ Firstly, let us find out the side of the square.

Given :

• Perimeter = 64 cm.

According to the question by using the formula we get,

↦ Perimeter = 4 × side

↦ 64 = 4 × side

↦ side = 64/4

➦ side = 16 cm

∴ Hence, the side of the square is 16 cm.

➋ Now we have the side of the square. So, now we will find out the area of the square.

Given :

• Side = 16 cm.

According to the question by using the formula we get,

↦ Area = (side)²

↦ Area = (16 cm)²

↦ Area = 16 cm × 16 cm

➦ Area = 256 cm²

∴ Hence, area of the square is 256 cm².

➌ Since, we know that the area of both square and rectangle are equal, therefore, area of rectangle is 256 cm². So, now we will find out the length of the rectangle.

Given :

• Area of rectangle = 256 cm².
• Breadth of rectangle = 4 cm.

According to the question by using the formula we get,

↦ Area of rectangle = l × b

↦ 256 = l × 4

↦ 256/4 = l

↦ 64 = l

➦ l = 64 cm

∴ Hence, the length of rectangle is 64 cm.

➍ At last, we will find out the perimeter of the rectangle.

Given :

• Length = 64 cm.
• Breadth = 4 cm.

According to the question by using the formula we get,

↦ Perimeter of rectangle = 2(l + b)

↦ Perimeter of rectangle = 2(64 + 4)

↦ Perimeter of rectangle = 2(68)

↦ Perimeter of rectangle = 2 × 68

➦ Perimeter of rectangle = 136 cm

∴ Hence, perimeter of rectangle is 136 cm.

Answer 2

Answer:

post 4*side =perimeter

side of square =64'4

16

POR=2(l+b)

area of rectangle =area of square

area of square =256

area of rectangle =l*b=256/4=64cm

hence POR is =2*(64+4)cm

POR=2*(68) =136cm