Question

the diagonal of a square field is 40m,then area of the field is -:​

Answer 1

The length of diagonal = d = 40
Then, The length of side = d/(2)^[1/2] = 20(2)^1/2
Area = 800 square meters.

I hope that you got your answer. Please mark my answer brainliest.

Answer 2

ANSWER:

• Area of square field = 800 m²

GIVEN:

• Diagonal of square field = 40 m

TO FIND:

• Area of square field.

SOLUTION:

Formula:

• Diagonal of square = √2(Side)

Putting the values in the formula:

$\implies \:40 = \sqrt{2} (side) \\ \implies \: \dfrac{40}{ \sqrt{2} } = side \\ \implies \: \dfrac{40}{ \sqrt{2} } \times \dfrac{ \sqrt{2} }{ \sqrt{2} } = side \\ \implies \: \dfrac{40 \sqrt{2} }{2} = side \\ \implies \: 20 \sqrt{2} \: m = side$

Formula:

• Area of Square = (Side)²

=> Area of square field = (20√2)²

=> Area of square field = 400*2

=> Area of square field = 800 m²

NOTE:

Some important formulas:

Area of Square = (Side)²

Area of rectangle = Length*Breadth

Area of rhombus = Base*Altitude

Area of parallelogram = Base*Altitude

Area of Triangle = (Base*Altitude)/2

Perimeter of Square = 4(side)

Perimeter of rectangle = 2(length+breadth)