Question

A man sold a square field of side 35 m and a rectangular field of length 51 m and breadth 25 m. He then purchased a square
field of equal area. Find the side of the square field.​

Answer 1

☆ Solution ☆

Given :-

• A man sold a square field of side 35 m and a rectangular field of length 51 m and breadth 25 m. He then purchased a square
• field of equal area.

To Find :-

• The side of the square field.

Step-by-Step-Explaination :-

Side of Square = 35 m

As we know that :-

Area of square = ${(side)}^{2}$

Putting the respective value

Area of square = ${(35)}^{2}$

Area of square = 1225 ${m}^{2}$

Now,

Length of rectangle = 51 m

Breadth of rectangle = 25 m

As we know that :-

Area of rectangle = l $\times$ b

Putting the respective value

Area of perimeter = 51 $\times$ 25

Area of perimeter = 1257 ${m}^{2}$

Total Area = ( 1225 + 1257 ) ${m}^{2}$

Total Area = 2500 ${m}^{2}$

According to the question,

Area of new square field will be equal to 2500 ${m}^{2}$

Therefore,

Area of new square field = 2500 ${m}^{2}$

S $\times S = 2500{m}^{2}$

${S}^{2} = 2500{m}^{2}$

S = $\sqrt{2500}$

S = 50 m

Hence,

• The side of the square field = 50 m