Question

The area of a square of side 18cm is the same as that of a rectangle of length 27cm . What is the breadth

of the rectangle?​

Answer 1

Answer:

breadth of rectangle=12cm

Step-by-step explanation:

area of square = area of rectangle

side square=l*b

18*18=27*b

b=18*18/27

b=12cm

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Answer 2

Answer:

Breadth of the rectangle = b= 12 cm

Explanation:

P.F.A the figure below for reference.

Given:

A square ABCD and a rectangle PQRS in which:

1. Side of square = a=  18 cm
2. Length of rectangle = l =  27 cm
3. ar(ABCD) = ar (PQRS)

To find:

• The breadth of the rectangle

Proof:

According to the question,

ar(ABCD) = ar (PQRS)

⇒ $a^{2}$ = l X b                                   [Where b is the breadth of rectangle PQRS]

Substituting

1. a = 18 cm                               [Given]
2. l = 27 cm                                [Given]

We get:

= $18^{2}$ = 27 X b

⇒ 324 = 27 X b

⇒ b = $\frac{324}{27}$

⇒ b = 12 cm

Hence, the breadth of the rectangle PQRS

= b = 12 cm

Hence, proved.

Hope you got that.

Thank You.