Question

What would be the length of the diagonal of a square plot whose area is equal to the area of a rectangular plot of 50
m length and 40.5 m width?​

Answer 1

Answer:

45 root 2

Step-by-step explanation:

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Answer 2

Answer:

$45 \sqrt{2} \: \: {m}^{2}$

Step-by-step explanation:

Length of the Rectangular Plot: 50m

Width of the Rectangular Plot: 40.5m

Area of the Rectangular Plot: (l × b)

→50 × 40.5

→2025 sq. m.

As the Area of the Rectangular Plot is equal to the area of the Square Plot, so area of square plot is 2025 sq. m.

Let the side of the Square Plot be x.

Area of the Square Plot: 2025 m. sq.

Area of square:

${s}^{2}$

So, we got the equation,

${x}^{2} = 2025$

$x = \sqrt{2025}$

$x = 45$

Now, side of the Square: 45 m.

Diagonal of the Square:

$\sqrt{2} a$

$\sqrt{2} \times 45$

$45 \sqrt{2}$

So, the diagonal of the Square Plot is 45√2 sq. m.

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