Question

Find the length of side of a square in cm whose area is equal to the area of a rectangle whose sides are 640 m and 250 m.​

Answer 1

Answer:-

• each side of square is 400 m or 40000cm.

Given:-

• area of a rectangle is equal to that the area of a square
• sides of rectangle = 640m and 250m

To Find:-

• length of side of square in (cm)

Solution :-

$\sf{\bold{\green{\underline{\underline{\boxed{Area\: of \: rectangle\: = length \times breadth }}}}}}$

$\sf{\bold{ area\: of \: rectangle = 640 \times 250 m^2}}$

$\sf{\bold{ area\: of \: rectangle = 160000 m^2}}$

• according to the question area of rectangle is equal to the area of square

Therefore :-

$\sf{\bold{ area\: of \: square = 160000 m^2}}$

$\sf{\bold{\green{\underline{\underline{\boxed{each\:side\:of\:square \: = \sqrt{area}}}}}}}$

$\sf{\bold{ each\:side\:of\:square = \sqrt{160000}}}$

$\sf{\bold{ each\:side\:of\:square = \sqrt{4\times 4\times 100 \times 100}}}$

$\sf{\bold{ each\:side\:of\:square = 4\times 100}}$

$\sf{\bold{ each\:side\:of\:square = 400 m}}$

• converting into centimeter .

$\sf{\bold{\green{\underline{\underline{\boxed{1m \: = 100cm }}}}}}$

$\sf{\bold { 400m = 400\times 100 cm}}$

$\sf{\bold { 400m = 40000 cm}}$

• Each side of a square is 40000 cm.

Answer 2

Answer:

length of side of the square = 40000 CM

Step-by-step explanation:

Sides of Rectangle

Length = 640M

Breadth = 250M

Area = 640 x 250 = 160000 $M^{2}$

Area of Square = $a^{2}$ = 160000 $M^{2}$

Therefore a = $\sqrt{160000}$

a = $\sqrt{4 x 4 x 100 x 100}$

a = 4 x 100

a = 400M

1 Meter = 100 CM

Therefore length of side of the square = 40000 CM