Question

wArea of rectangle and aria of square are equal. Side of square is 16cm. Breadth of rectangle is 8cm. Find length ans perimeter of rectangle.​

Answer 1

Answer:length=32cm, perimeter=80cm

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Step-by-step explanation:

area of square=  16 x 16 = 256cm^2

area of rectangle= length x breadth

breadth=8cm

area of rectangle=area of square

area of rectangle = 256cm^2

let length=l

8 x l=256

l=256/8

l=32cm

perimeter= 2(l+b)

perimeter= 2(32+8)

perimeter=2(40)=80cm

Answer 2

Answer:

• Length of rectangle is 32 cm.
• Perimeter of rectangle is 80 cm.

Step-by-step explanation:

Given :-

• Area of rectangle and area of square are equal.
• Side of square is 16 cm.
• Breadth of rectangle is 8 cm.

To find :-

• Length of rectangle.
• Perimeter of rectangle.

Solution :-

Area of square = side × side

$\longrightarrow$ Area = 16 × 16

$\longrightarrow$ Area = 256

Area of square is 256 cm².

According to question :

Area of square and area of rectangle are equal.

So, Area of rectangle is 256 cm².

Let, Length of rectangle be x.

Now,

Area of rectangle = Length × Breadth

$\longrightarrow$ 256 = x × 8

$\longrightarrow$ 256/8 = x

$\longrightarrow$ x = 32

x is length of rectangle. Thus,

Length of rectangle is 32 cm.

We know,

Perimeter of rectangle = 2(Length + Breadth)

$\longrightarrow$ Perimeter = 2 × (32 + 8)

$\longrightarrow$ Perimeter = 64 + 16

$\longrightarrow$ Perimeter = 80

Therefore,

Perimeter of rectangle is 80 cm.