Question

the area of a square of side 16 cm is the same as that of a rectangle of length 32 cm find its breadth.​

Answer 1

Answer:

Answer:

• Breadth, b=8cm

Given:

• Area of the square of side, a=16cm
• Length of the rectangle, l=32cm
• Area of the square=Area of the rectangle

To find:

• Breadth of the rectangle,b=?

Solution:

As we know that,

Area of the square=a²

Area of the rectangle=l×b

Since they are equal.

a²=l×b

16×16=32×b

b=256/32

b=16/2

b=8cm

So, The breadth of the rectangle, b=8cm

Step-by-step explanation:

Hope it helps you.......

Answer 2

✬ Breadth = 8 cm ✬

Given:

• Area of square and rectangle is same.
• Measure of side of square is 16 cm.
• Measure of length of rectangle is 32 cm.

To Find:

• What is the breadth of rectangle ?

Solution: Let the breadth of rectangle be b cm.

As we know that

★ Ar. of Rectangle = Length•Breadth ★

$\implies{\rm }$ Area = 32 $\times$ b

$\implies{\rm }$ Area = 32b cm²....(1)

Now, Find the area of square

$\implies{\rm }$ Area = 16²

$\implies{\rm }$ Area = 256 cm²...(2)

A/q

• Equation 1 = 2

➭ 32b = 256

➭ b = 256/32

➭ b = 8 cm

Hence, the breadth of rectangle is 8 cm.

____________________

★ Verification ★

➼ Area of sq = Area of rect

➼ 16² = 32(8)

➼ 256 = 256

$\large\boxed{\texttt{Verified}}$