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

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.​

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4 weeks 2021-09-22T23:24:31+00:00 2 Answers 0 views 0

### Given:

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

### Solution:

As we know that,

Area of the square=

Area of the rectangle=b

Since they are equal.

=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.......

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 Area = 32 b Area = 32b cm²….(1)

Now, Find the area of square Area = 16² Area = 256 c…(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 