Question

The diagonal of a square is 10cms then its area is
(A) 100 cm2 (B) 25cm2
(C) 50cm2
(D) 20cm2​

Answer 1

Question:

The diagonal of a square is 10cms then its area is

Given:

The diagonal of the square is 10 cm

To Find:

The area of the square  

Formula used:

$d=\sqrt{2a}\\\\\\\textsf{Where d is diameter, a is area} \\\\\\a=\frac{1}{2}d^2$

Solution:

$d=\sqrt{2a}\\\\\\\textsf{Where d is diameter, a is area} \\\\\\a=\frac{1}{2}d^2$

$a=\frac{1}{2}d^2\\\\\\a=\frac{1}{2}\times10^2\\\\\\a=\frac{1}{2}\times100\\\\\\a=\frac{100}{2}\\\\\\a=50cm^2\\\\\\\boxed{a=50cm^2\\\\\\}$

Answer:

$\boxed{a=50cm^2\\\\\\}$

Answer 2

Question:

The diagonal of a square is 10cms then its area is

Formula used:

$d=\sqrt{2a}\\\\\\\textsc{Where d is diameter, a is area} \\\\\\a=\frac{1}{2}d^2$

Solution:

$d=\sqrt{2a}\\\\\\\textsc{Where d is diameter, a is area} \\\\\\a=\frac{1}{2}d^2$

$a=\frac{1}{2}d^2\\\\\\a=\frac{1}{2}\times10^2\\\\\\a=\frac{1}{2}\times100\\\\\\a=\frac{100}{2}\\\\\\a=50cm^2\\\\\\\boxed{\textsf{a=50cm}^2}$

Answer:

$\boxed{\textsf{a=50cm}^2}$