Question

A rectangle is 25 m long and 16 m broad. Find the side of square whose area is equal to the area of rectangle.

Answer 1

Given:-

• Length of rectangle=25m

• Breadth of rectangle= 16m

To find:-

• We have to calculate the side of square whose area of is equal to the Area of rectangle

• So,

A.T.Q

Now we know that Area of rectangle

$\sf\underline{\dag{Area\:of\: rectangle=length\times Breadth}}$

• So the Area of rectangle

$\sf\implies Area_{rectangle}= 25\times 16\\ \\ \sf\implies Area =400m{}^{2}$

• Now calculate the side of square

$\sf\underline{\dag{Area\:of\: square=side{}^{2}}}$

$\boxed{\sf{Area\:of\: rectangle=Area\:of\:square}}$

$\sf\bullet Area\:of\: square=400m{}^{2}\\ \\ \sf\:\:\:\:\:\:\:Now\: calculate\:the\:side\:of\: square$

$\sf\implies Area\:of\:square=side{}^{2}\\ \\ \sf\implies 400=side{}^{2}\\ \\ \sf\implies \sqrt{400}=side\\ \\ \sf\implies side=20m$

$\boxed{\sf{\dag{\:\: side\:of\: square=20m}}}$

Answer 2

Answer:

The side of the square is 20 meter.

Step-by-step explanation:

Area of rectangle = length × breadth

= 25 × 16 = 400 m

By condition,

Area of square = Area of rectangle

Therefore,

Area of square = 400 meter

Area of square = side²

400 = side²

Side = root square of 400 = 20(answer).

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