Question

The area of a square and rectangle are equal. If the side of the square measures 40 cm and the breadth of the rectangle is 32 cm, find the length of the rectangle.

Answer 1

Answer:

let the breadth of rectangle be x.

area of square = area of rectangle

18×18=x×36

x=9

perimeter=2(l+b)

=2(9+36)

=90 cm

Answer 2

Solution:

• Here, The area of a square and rectangle are equal. If the side of the square measures 40 cm and the breadth of the rectangle is 32 cm,We should find the length of the rectangle.

As they given that,

• Area of a square = Area of rectangle
• Side of the square = 40 cm
• Breadth of the rectangle = 32 cm

❍Let us assume that,

• The length of the rectangle be x.

Step-by-step explanation:

As we know that,

• Area of rectangle = length × breadth
• Area of square = side × side

Let us apply the given values,

➞ Area of a square = Area of rectangle

➞ side × side = length × breadth

➞ 40 × 40 = x × 32

➞ 1600 = 32x

➞ x = 1600 ÷ 32

➞ x = 50 cm

• Therefore,The length of the rectangle = x = 50 cm.

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Let us verify,

➞ Area of square = Area of rectangle

➞ 40 × 40 = 50 × 32

➞ 1600 = 1600

• Hence,verified.

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