Question

3. The length of a rectangle is 40 cm and its breadth is 30 cm. Find the area of the largest square that
will be closest to the area of the rectangle. Also, find the side of the square.​

Answer 1

Answer:

Area of the rectangle:-1200 sq cm

Area of a square:-Side x side

30 x 30=900 sq cm

40 x 40 =3600 sq cm

So therefore ,35 x 35= 1225 sq cm

So the answer is the are of a square with a side of 35 cm

And its area is 1125 sq cm

Answer 2

Answer:

Area of the largest square = 1156

Side of the square =34

Step-by-step explanation:

Area of rectangle = l×b

= 40×30

= 1200

Area of rectangle = 1200

the nearest square to 1200 is 32².

So, 34²=1156

Hence, the area of the largest square that will be closest to the area of the rectangle is a square of 34cm .

Side of a square = Square root of area

=

$\sqrt{1156}$

So, side of the square is 34.