Question

Find the area of a square whose diagonal is of 14 cm length.

• A. 95 cm²
• B. 98 cm²
• C. 94 cm²
• D. 96 cm²

Answer 1

Answer:

B. 98 cm²

For a square:

$d = s\sqrt{2}$

Where:

• (d = 14) cm

• (s =) side of square

  Find the side

$s = \frac{14}{\sqrt{2}} = 7\sqrt{2}$

Area of square

$\text{Area} = s^2$

$= (7\sqrt{2})^2$

$= 49 \times 2 = 98$

Final Answer:

98 cm²